Solve left(x+6right)left(x-17right)=x^2

$$\left( x+6 \right) \left( x-17 \right) = { x }^{ 2 }$$

Solve for x

$$x = -\frac{102}{11} = -9\frac{3}{11} \approx -9.272727273$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+6 by x-17 and combine like terms.

$$x^{2}-11x-102=x^{2}$$

Subtract x^{2} from both sides.

$$x^{2}-11x-102-x^{2}=0$$

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

$$-11x-102=0$$

Add 102 to both sides. Anything plus zero gives itself.

$$-11x=102$$

Divide both sides by -11.

$$x=\frac{102}{-11}$$

Fraction \frac{102}{-11} can be rewritten as -\frac{102}{11} by extracting the negative sign.

$$x=-\frac{102}{11}$$