Factor out the common term \(2\).
\[uest\imath ons\sqrt{x+5}+\sqrt{2(3x+20)}=\sqrt{x+21}onboths\imath de\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[ue{s}^{2}t\imath on\sqrt{x+5}+\sqrt{2(3x+20)}=\sqrt{x+21}onboths\imath de\]
Regroup terms.
\[e\imath u{s}^{2}ton\sqrt{x+5}+\sqrt{2(3x+20)}=\sqrt{x+21}onboths\imath de\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[e\imath u{s}^{2}ton\sqrt{x+5}+\sqrt{2(3x+20)}=\sqrt{x+21}{o}^{2}nbths\imath de\]
Regroup terms.
\[e\imath u{s}^{2}ton\sqrt{x+5}+\sqrt{2(3x+20)}=e\imath {o}^{2}nbthsd\sqrt{x+21}\]
Regroup terms.
\[\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}=e\imath {o}^{2}nbthsd\sqrt{x+21}\]
Divide both sides by \(e\).
\[\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e}=\imath {o}^{2}nbthsd\sqrt{x+21}\]
Divide both sides by \(\imath \).
\[\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e}}{\imath }={o}^{2}nbthsd\sqrt{x+21}\]
Simplify \(\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e}}{\imath }\) to \(\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath }\).
\[\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath }={o}^{2}nbthsd\sqrt{x+21}\]
Divide both sides by \({o}^{2}\).
\[\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath }}{{o}^{2}}=nbthsd\sqrt{x+21}\]
Simplify \(\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath }}{{o}^{2}}\) to \(\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}}\).
\[\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}}=nbthsd\sqrt{x+21}\]
Divide both sides by \(n\).
\[\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}}}{n}=bthsd\sqrt{x+21}\]
Simplify \(\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}}}{n}\) to \(\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}n}\).
\[\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}n}=bthsd\sqrt{x+21}\]
Divide both sides by \(t\).
\[\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}n}}{t}=bhsd\sqrt{x+21}\]
Simplify \(\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}n}}{t}\) to \(\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nt}\).
\[\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nt}=bhsd\sqrt{x+21}\]
Divide both sides by \(h\).
\[\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nt}}{h}=bsd\sqrt{x+21}\]
Simplify \(\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nt}}{h}\) to \(\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nth}\).
\[\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nth}=bsd\sqrt{x+21}\]
Divide both sides by \(s\).
\[\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nth}}{s}=bd\sqrt{x+21}\]
Simplify \(\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nth}}{s}\) to \(\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nths}\).
\[\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nths}=bd\sqrt{x+21}\]
Divide both sides by \(d\).
\[\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nths}}{d}=b\sqrt{x+21}\]
Simplify \(\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nths}}{d}\) to \(\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nthsd}\).
\[\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nthsd}=b\sqrt{x+21}\]
Divide both sides by \(\sqrt{x+21}\).
\[\frac{\frac{\sqrt{2(3x+20)}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nthsd}}{\sqrt{x+21}}=b\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[\frac{\frac{\sqrt{2}\sqrt{3x+20}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nthsd}}{\sqrt{x+21}}=b\]
Simplify \(\frac{\frac{\sqrt{2}\sqrt{3x+20}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nthsd}}{\sqrt{x+21}}\) to \(\frac{\sqrt{2}\sqrt{3x+20}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nthsd\sqrt{x+21}}\).
\[\frac{\sqrt{2}\sqrt{3x+20}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nthsd\sqrt{x+21}}=b\]
Switch sides.
\[b=\frac{\sqrt{2}\sqrt{3x+20}+e\imath u{s}^{2}ton\sqrt{x+5}}{e\imath {o}^{2}nthsd\sqrt{x+21}}\]
b=(sqrt(2)*sqrt(3*x+20)+e*IM*u*s^2*t*o*n*sqrt(x+5))/(e*IM*o^2*n*t*h*s*d*sqrt(x+21))
