Solve (cx)=7x^2+252

$$( c x ) = 7 x ^ { 2 } + 252$$

Solve for c

$$c=7x+\frac{252}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xc=7x^{2}+252$$

Divide both sides by x.

$$\frac{xc}{x}=\frac{7x^{2}+252}{x}$$

Dividing by x undoes the multiplication by x.

$$c=\frac{7x^{2}+252}{x}$$

Divide 7x^{2}+252 by x.

$$c=7x+\frac{252}{x}$$

Solve for x (complex solution)

$$x=\frac{-\sqrt{c^{2}-7056}+c}{14}$$

$$x=\frac{\sqrt{c^{2}-7056}+c}{14}$$

Solve for x

$$x=\frac{-\sqrt{c^{2}-7056}+c}{14}$$

$$x=\frac{\sqrt{c^{2}-7056}+c}{14}\text{, }|c|\geq 84$$