Solve g_{x}sqrt[5]{1/4}=-6/5

$$g _ { x } \sqrt[ 5 ] { \frac { 1 } { 4 } } = - \frac { 6 } { 5 }$$

Solve for g_x

$$g_{x} = -\frac{6 \sqrt[5]{4}}{5} \approx -1.583409493$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\sqrt[5]{\frac{1}{4}}g_{x}=-\frac{6}{5}$$

Divide both sides by \sqrt[5]{\frac{1}{4}}.

$$\frac{\sqrt[5]{\frac{1}{4}}g_{x}}{\sqrt[5]{\frac{1}{4}}}=-\frac{\frac{6}{5}}{\sqrt[5]{\frac{1}{4}}}$$

Dividing by \sqrt[5]{\frac{1}{4}} undoes the multiplication by \sqrt[5]{\frac{1}{4}}.

$$g_{x}=-\frac{\frac{6}{5}}{\sqrt[5]{\frac{1}{4}}}$$

Divide -\frac{6}{5} by \sqrt[5]{\frac{1}{4}}.

$$g_{x}=-\frac{6\sqrt[5]{4}}{5}$$