(2x+20)(5x-20)=

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Solution for (2x+20)(5x-20)= equation: 


Simplifying
(2x + 20)(5x + -20) = 0

Reorder the terms:
(20 + 2x)(5x + -20) = 0

Reorder the terms:
(20 + 2x)(-20 + 5x) = 0

Multiply (20 + 2x) * (-20 + 5x)
(20(-20 + 5x) + 2x * (-20 + 5x)) = 0
((-20 * 20 + 5x * 20) + 2x * (-20 + 5x)) = 0
((-400 + 100x) + 2x * (-20 + 5x)) = 0
(-400 + 100x + (-20 * 2x + 5x * 2x)) = 0
(-400 + 100x + (-40x + 10x2)) = 0

Combine like terms: 100x + -40x = 60x
(-400 + 60x + 10x2) = 0

Solving
-400 + 60x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-40 + 6x + x2) = 0

Factor a trinomial.
10((-10 + -1x)(4 + -1x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
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
Solution
x = {-10, 4}

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