(x+6)(x-5)=80

Solution for (x+6)(x-5)=80 equation:

Simplifying
(x + 6)(x + -5) = 80

Reorder the terms:
(6 + x)(x + -5) = 80

Reorder the terms:
(6 + x)(-5 + x) = 80

Multiply (6 + x) * (-5 + x)
(6(-5 + x) + x(-5 + x)) = 80
((-5 * 6 + x * 6) + x(-5 + x)) = 80
((-30 + 6x) + x(-5 + x)) = 80
(-30 + 6x + (-5 * x + x * x)) = 80
(-30 + 6x + (-5x + x2)) = 80

Combine like terms: 6x + -5x = 1x
(-30 + 1x + x2) = 80

Solving
-30 + 1x + x2 = 80

Solving for variable 'x'.

Reorder the terms:
-30 + -80 + 1x + x2 = 80 + -80

Combine like terms: -30 + -80 = -110
-110 + 1x + x2 = 80 + -80

Combine like terms: 80 + -80 = 0
-110 + 1x + x2 = 0

Factor a trinomial.
(-11 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-11, 10}