Regroup terms.
\[esolv{a}^{2}{x}^{2}-3abx+2{b}^{2}=0BYCOMPLETIGTHESQUAREMETHOD\]
Simplify \(0BYCOMPLETIGTHESQUAREMETHOD\) to \(0\).
\[esolv{a}^{2}{x}^{2}-3abx+2{b}^{2}=0\]
Add \(3abx\) to both sides.
\[esolv{a}^{2}{x}^{2}+2{b}^{2}=3abx\]
Subtract \(2{b}^{2}\) from both sides.
\[esolv{a}^{2}{x}^{2}=3abx-2{b}^{2}\]
Factor out the common term \(b\).
\[esolv{a}^{2}{x}^{2}=b(3ax-2b)\]
Divide both sides by \(e\).
\[solv{a}^{2}{x}^{2}=\frac{b(3ax-2b)}{e}\]
Divide both sides by \(o\).
\[slv{a}^{2}{x}^{2}=\frac{\frac{b(3ax-2b)}{e}}{o}\]
Simplify \(\frac{\frac{b(3ax-2b)}{e}}{o}\) to \(\frac{b(3ax-2b)}{eo}\).
\[slv{a}^{2}{x}^{2}=\frac{b(3ax-2b)}{eo}\]
Divide both sides by \(l\).
\[sv{a}^{2}{x}^{2}=\frac{\frac{b(3ax-2b)}{eo}}{l}\]
Simplify \(\frac{\frac{b(3ax-2b)}{eo}}{l}\) to \(\frac{b(3ax-2b)}{eol}\).
\[sv{a}^{2}{x}^{2}=\frac{b(3ax-2b)}{eol}\]
Divide both sides by \(v\).
\[s{a}^{2}{x}^{2}=\frac{\frac{b(3ax-2b)}{eol}}{v}\]
Simplify \(\frac{\frac{b(3ax-2b)}{eol}}{v}\) to \(\frac{b(3ax-2b)}{eolv}\).
\[s{a}^{2}{x}^{2}=\frac{b(3ax-2b)}{eolv}\]
Divide both sides by \({a}^{2}\).
\[s{x}^{2}=\frac{\frac{b(3ax-2b)}{eolv}}{{a}^{2}}\]
Simplify \(\frac{\frac{b(3ax-2b)}{eolv}}{{a}^{2}}\) to \(\frac{b(3ax-2b)}{eolv{a}^{2}}\).
\[s{x}^{2}=\frac{b(3ax-2b)}{eolv{a}^{2}}\]
Divide both sides by \({x}^{2}\).
\[s=\frac{\frac{b(3ax-2b)}{eolv{a}^{2}}}{{x}^{2}}\]
Simplify \(\frac{\frac{b(3ax-2b)}{eolv{a}^{2}}}{{x}^{2}}\) to \(\frac{b(3ax-2b)}{eolv{a}^{2}{x}^{2}}\).
\[s=\frac{b(3ax-2b)}{eolv{a}^{2}{x}^{2}}\]
s=(b*(3*a*x-2*b))/(e*o*l*v*a^2*x^2)
