Solve 144z^2+168x+153=0

$$144 z ^ { 2 } + 168 x + 153 = 0$$

Solve for x

$$x=-\frac{6z^{2}}{7}-\frac{51}{56}$$

Steps for Solving Linear Equation

Subtract 144z^{2} from both sides. Anything subtracted from zero gives its negation.

$$168x+153=-144z^{2}$$

Subtract 153 from both sides.

$$168x=-144z^{2}-153$$

Divide both sides by 168.

$$\frac{168x}{168}=\frac{-144z^{2}-153}{168}$$

Dividing by 168 undoes the multiplication by 168.

$$x=\frac{-144z^{2}-153}{168}$$

Divide -144z^{2}-153 by 168.

$$x=-\frac{6z^{2}}{7}-\frac{51}{56}$$

Solve for z (complex solution)

$$z=-\frac{\sqrt{-168x-153}}{12}$$

$$z=\frac{\sqrt{-168x-153}}{12}$$

Solve for z

$$z=\frac{\sqrt{-168x-153}}{12}$$

$$z=-\frac{\sqrt{-168x-153}}{12}\text{, }x\leq -\frac{51}{56}$$