Solve (x+6)*(x-14)=x^2

$$(x+6) \times (x-14)= { x }^{ 2 }$$

Solve for x

$$x = -\frac{21}{2} = -10\frac{1}{2} = -10.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+6 by x-14 and combine like terms.

$$x^{2}-8x-84=x^{2}$$

Subtract x^{2} from both sides.

$$x^{2}-8x-84-x^{2}=0$$

Combine x^{2} and -x^{2} to get 0.

$$-8x-84=0$$

Add 84 to both sides. Anything plus zero gives itself.

$$-8x=84$$

Divide both sides by -8.

$$x=\frac{84}{-8}$$

Reduce the fraction \frac{84}{-8} to lowest terms by extracting and canceling out 4.

$$x=-\frac{21}{2}$$