(x+5)*(x-6)=51-x

Solution for (x+5)*(x-6)=51-x equation:

Simplifying
(x + 5)(x + -6) = 51 + -1x

Reorder the terms:
(5 + x)(x + -6) = 51 + -1x

Reorder the terms:
(5 + x)(-6 + x) = 51 + -1x

Multiply (5 + x) * (-6 + x)
(5(-6 + x) + x(-6 + x)) = 51 + -1x
((-6 * 5 + x * 5) + x(-6 + x)) = 51 + -1x
((-30 + 5x) + x(-6 + x)) = 51 + -1x
(-30 + 5x + (-6 * x + x * x)) = 51 + -1x
(-30 + 5x + (-6x + x2)) = 51 + -1x

Combine like terms: 5x + -6x = -1x
(-30 + -1x + x2) = 51 + -1x

Add 'x' to each side of the equation.
-30 + -1x + x + x2 = 51 + -1x + x

Combine like terms: -1x + x = 0
-30 + 0 + x2 = 51 + -1x + x
-30 + x2 = 51 + -1x + x

Combine like terms: -1x + x = 0
-30 + x2 = 51 + 0
-30 + x2 = 51

Solving
-30 + x2 = 51

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + x2 = 51 + 30

Combine like terms: -30 + 30 = 0
0 + x2 = 51 + 30
x2 = 51 + 30

Combine like terms: 51 + 30 = 81
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}