Cancel on both sides.
\[{x}^{2}\times 14x-=32-\]
Regroup terms.
\[14{x}^{2}x-=32-\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[14{x}^{2+1}-=32-\]
Simplify \(2+1\) to \(3\).
\[14{x}^{3}-=32-\]
Cancel \(-\) on both sides.
\[14{x}^{3}=32\]
Divide both sides by \(14\).
\[{x}^{3}=\frac{32}{14}\]
Simplify \(\frac{32}{14}\) to \(\frac{16}{7}\).
\[{x}^{3}=\frac{16}{7}\]
Take the cube root of both sides.
\[x=\sqrt[3]{\frac{16}{7}}\]
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[x=\frac{\sqrt[3]{16}}{\sqrt[3]{7}}\]
Simplify \(\sqrt[3]{16}\) to \(2\sqrt[3]{2}\).
\[x=\frac{2\sqrt[3]{2}}{\sqrt[3]{7}}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[x=\frac{{2}^{\frac{4}{3}}}{\sqrt[3]{7}}\]
Decimal Form: 1.317268
x=2^(4/3)/7^(1/3)
