(x-6)(6+7)=0

Solution for (x-6)(6+7)=0 equation:

Simplifying
(x + -6)(6 + 7) = 0

Reorder the terms:
(-6 + x)(6 + 7) = 0

Combine like terms: 6 + 7 = 13
(-6 + x)(13) = 0

Reorder the terms for easier multiplication:
13(-6 + x) = 0
(-6 * 13 + x * 13) = 0
(-78 + 13x) = 0

Solving
-78 + 13x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '78' to each side of the equation.
-78 + 78 + 13x = 0 + 78

Combine like terms: -78 + 78 = 0
0 + 13x = 0 + 78
13x = 0 + 78

Combine like terms: 0 + 78 = 78
13x = 78

Divide each side by '13'.
x = 6

Simplifying
x = 6