Solve x^2-18x+7x-126=x^2

$${ x }^{ 2 } -18x+7x-126= { x }^{ 2 }$$

Solve for x

$$x = -\frac{126}{11} = -11\frac{5}{11} \approx -11.454545455$$

Steps for Solving Linear Equation

Combine -18x and 7x to get -11x.

$$x^{2}-11x-126=x^{2}$$

Subtract x^{2} from both sides.

$$x^{2}-11x-126-x^{2}=0$$

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

$$-11x-126=0$$

Add 126 to both sides. Anything plus zero gives itself.

$$-11x=126$$

Divide both sides by -11.

$$x=\frac{126}{-11}$$

Fraction \frac{126}{-11} can be rewritten as -\frac{126}{11} by extracting the negative sign.

$$x=-\frac{126}{11}$$