(x+9)(x-6)=-14

Solution for (x+9)(x-6)=-14 equation:

Simplifying
(x + 9)(x + -6) = -14

Reorder the terms:
(9 + x)(x + -6) = -14

Reorder the terms:
(9 + x)(-6 + x) = -14

Multiply (9 + x) * (-6 + x)
(9(-6 + x) + x(-6 + x)) = -14
((-6 * 9 + x * 9) + x(-6 + x)) = -14
((-54 + 9x) + x(-6 + x)) = -14
(-54 + 9x + (-6 * x + x * x)) = -14
(-54 + 9x + (-6x + x2)) = -14

Combine like terms: 9x + -6x = 3x
(-54 + 3x + x2) = -14

Solving
-54 + 3x + x2 = -14

Solving for variable 'x'.

Reorder the terms:
-54 + 14 + 3x + x2 = -14 + 14

Combine like terms: -54 + 14 = -40
-40 + 3x + x2 = -14 + 14

Combine like terms: -14 + 14 = 0
-40 + 3x + x2 = 0

Factor a trinomial.
(-8 + -1x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-8, 5}