(x+8)(4x-20)=

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Solution for (x+8)(4x-20)= equation: 


Simplifying
(x + 8)(4x + -20) = 0

Reorder the terms:
(8 + x)(4x + -20) = 0

Reorder the terms:
(8 + x)(-20 + 4x) = 0

Multiply (8 + x) * (-20 + 4x)
(8(-20 + 4x) + x(-20 + 4x)) = 0
((-20 * 8 + 4x * 8) + x(-20 + 4x)) = 0
((-160 + 32x) + x(-20 + 4x)) = 0
(-160 + 32x + (-20 * x + 4x * x)) = 0
(-160 + 32x + (-20x + 4x2)) = 0

Combine like terms: 32x + -20x = 12x
(-160 + 12x + 4x2) = 0

Solving
-160 + 12x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-40 + 3x + x2) = 0

Factor a trinomial.
4((-8 + -1x)(5 + -1x)) = 0

Ignore the factor 4.

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}

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