Expand.
\[MULTIPLY=8{x}^{3}+4{x}^{2}+2x-4{x}^{2}-2x-1\]
Simplify \(8{x}^{3}+4{x}^{2}+2x-4{x}^{2}-2x-1\) to \(8{x}^{3}-1\).
\[MULTIPLY=8{x}^{3}-1\]
Add \(1\) to both sides.
\[MULTIPLY+1=8{x}^{3}\]
Divide both sides by \(8\).
\[\frac{MULTIPLY+1}{8}={x}^{3}\]
Take the cube root of both sides.
\[\sqrt[3]{\frac{MULTIPLY+1}{8}}=x\]
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\frac{\sqrt[3]{MULTIPLY+1}}{\sqrt[3]{8}}=x\]
Rewrite \(MULTIPLY+1\) in the form \({a}^{3}+{b}^{3}\), where \(a=0\) and \(b=1\).
\[\frac{\sqrt[3]{{0}^{3}+{1}^{3}}}{\sqrt[3]{8}}=x\]
Simplify \({0}^{3}\) to \(0\).
\[\frac{\sqrt[3]{0+{1}^{3}}}{\sqrt[3]{8}}=x\]
Simplify \({1}^{3}\) to \(1\).
\[\frac{\sqrt[3]{0+1}}{\sqrt[3]{8}}=x\]
Simplify \(0+1\) to \(1\).
\[\frac{\sqrt[3]{1}}{\sqrt[3]{8}}=x\]
Calculate.
\[\frac{1}{\sqrt[3]{8}}=x\]
Calculate.
\[\frac{1}{2}=x\]
Switch sides.
\[x=\frac{1}{2}\]
Decimal Form: 0.5
x=1/2
