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

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


Simplifying
-4(x + 5)(x + -4) = 0

Reorder the terms:
-4(5 + x)(x + -4) = 0

Reorder the terms:
-4(5 + x)(-4 + x) = 0

Multiply (5 + x) * (-4 + x)
-4(5(-4 + x) + x(-4 + x)) = 0
-4((-4 * 5 + x * 5) + x(-4 + x)) = 0
-4((-20 + 5x) + x(-4 + x)) = 0
-4(-20 + 5x + (-4 * x + x * x)) = 0
-4(-20 + 5x + (-4x + x2)) = 0

Combine like terms: 5x + -4x = 1x
-4(-20 + 1x + x2) = 0
(-20 * -4 + 1x * -4 + x2 * -4) = 0
(80 + -4x + -4x2) = 0

Solving
80 + -4x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(20 + -1x + -1x2) = 0

Factor a trinomial.
4((4 + -1x)(5 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

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

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

Simplifying
x = -5
Solution
x = {4, -5}

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