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

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

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

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

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

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

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

Reorder the terms:
-30 + -1x + x + x2 = 51

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