(x-5)(x+8)=-40

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Solution for (x-5)(x+8)=-40 equation: 


Simplifying
(x + -5)(x + 8) = -40

Reorder the terms:
(-5 + x)(x + 8) = -40

Reorder the terms:
(-5 + x)(8 + x) = -40

Multiply (-5 + x) * (8 + x)
(-5(8 + x) + x(8 + x)) = -40
((8 * -5 + x * -5) + x(8 + x)) = -40
((-40 + -5x) + x(8 + x)) = -40
(-40 + -5x + (8 * x + x * x)) = -40
(-40 + -5x + (8x + x2)) = -40

Combine like terms: -5x + 8x = 3x
(-40 + 3x + x2) = -40

Add '40' to each side of the equation.
-40 + 3x + 40 + x2 = -40 + 40

Reorder the terms:
-40 + 40 + 3x + x2 = -40 + 40

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

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

Solving
3x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {0, -3}

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