Solve x+75y-z726=left(8xright)^2

$$x+75y-z726= { \left(8x \right) }^{ 2 }$$

Solve for y

$$y=\frac{64x^{2}-x+z_{726}}{75}$$

Steps for Solving Linear Equation

Expand \left(8x\right)^{2}.

$$x+75y-z_{726}=8^{2}x^{2}$$

Calculate 8 to the power of 2 and get 64.

$$x+75y-z_{726}=64x^{2}$$

Subtract x from both sides.

$$75y-z_{726}=64x^{2}-x$$

Add z_{726} to both sides.

$$75y=64x^{2}-x+z_{726}$$

Divide both sides by 75.

$$\frac{75y}{75}=\frac{64x^{2}-x+z_{726}}{75}$$

Dividing by 75 undoes the multiplication by 75.

$$y=\frac{64x^{2}-x+z_{726}}{75}$$

Solve for x (complex solution)

$$x=\frac{-\sqrt{19200y-256z_{726}+1}+1}{128}$$

$$x=\frac{\sqrt{19200y-256z_{726}+1}+1}{128}$$

Solve for x

$$x=\frac{-\sqrt{19200y-256z_{726}+1}+1}{128}$$

$$x=\frac{\sqrt{19200y-256z_{726}+1}+1}{128}\text{, }y\geq \frac{z_{726}}{75}-\frac{1}{19200}$$