Solve (x+6)(x-6)-3x=x^2-25

$$( x + 6 ) ( x - 6 ) - 3 x = x ^ { 2 } - 25$$

Solve for x

$$x = -\frac{11}{3} = -3\frac{2}{3} \approx -3.666666667$$

Steps for Solving Linear Equation

Consider \left(x+6\right)\left(x-6\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 6.

$$x^{2}-36-3x=x^{2}-25$$

Subtract x^{2} from both sides.

$$x^{2}-36-3x-x^{2}=-25$$

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

$$-36-3x=-25$$

Add 36 to both sides.

$$-3x=-25+36$$

Add -25 and 36 to get 11.

$$-3x=11$$

Divide both sides by -3.

$$x=\frac{11}{-3}$$

Fraction \frac{11}{-3} can be rewritten as -\frac{11}{3} by extracting the negative sign.

$$x=-\frac{11}{3}$$