(x+4)(x-5)=-20

Solution for (x+4)(x-5)=-20 equation:

Simplifying
(x + 4)(x + -5) = -20

Reorder the terms:
(4 + x)(x + -5) = -20

Reorder the terms:
(4 + x)(-5 + x) = -20

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

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

Add '20' to each side of the equation.
-20 + -1x + 20 + x2 = -20 + 20

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

Combine like terms: -20 + 20 = 0
0 + -1x + x2 = -20 + 20
-1x + x2 = -20 + 20

Combine like terms: -20 + 20 = 0
-1x + x2 = 0

Solving
-1x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0, 1}