Solve (6sqrt{85})^2=(sqrt{36x})^2

$$( 6 \sqrt { 85 } ) ^ { 2 } = ( \sqrt { 36 x } ) ^ { 2 }$$

Solve for x

$$x=85$$

Steps for Solving Linear Equation

Expand \left(6\sqrt{85}\right)^{2}.

$$6^{2}\left(\sqrt{85}\right)^{2}=\left(\sqrt{36x}\right)^{2}$$

Calculate 6 to the power of 2 and get 36.

$$36\left(\sqrt{85}\right)^{2}=\left(\sqrt{36x}\right)^{2}$$

The square of \sqrt{85} is 85.

$$36\times 85=\left(\sqrt{36x}\right)^{2}$$

Multiply 36 and 85 to get 3060.

$$3060=\left(\sqrt{36x}\right)^{2}$$

Calculate \sqrt{36x} to the power of 2 and get 36x.

$$3060=36x$$

Swap sides so that all variable terms are on the left hand side.

$$36x=3060$$

Divide both sides by 36.

$$x=\frac{3060}{36}$$

Divide 3060 by 36 to get 85.

$$x=85$$