(x+4)(x-5)=-14

Solution for (x+4)(x-5)=-14 equation:

Simplifying
(x + 4)(x + -5) = -14

Reorder the terms:
(4 + x)(x + -5) = -14

Reorder the terms:
(4 + x)(-5 + x) = -14

Multiply (4 + x) * (-5 + x)
(4(-5 + x) + x(-5 + x)) = -14
((-5 * 4 + x * 4) + x(-5 + x)) = -14
((-20 + 4x) + x(-5 + x)) = -14
(-20 + 4x + (-5 * x + x * x)) = -14
(-20 + 4x + (-5x + x2)) = -14

Combine like terms: 4x + -5x = -1x
(-20 + -1x + x2) = -14

Solving
-20 + -1x + x2 = -14

Solving for variable 'x'.

Reorder the terms:
-20 + 14 + -1x + x2 = -14 + 14

Combine like terms: -20 + 14 = -6
-6 + -1x + x2 = -14 + 14

Combine like terms: -14 + 14 = 0
-6 + -1x + x2 = 0

Factor a trinomial.
(-2 + -1x)(3 + -1x) = 0

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-2, 3}