(2x+20)(5x-20)=1200

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Solution for (2x+20)(5x-20)=1200 equation: 


Simplifying
(2x + 20)(5x + -20) = 1200

Reorder the terms:
(20 + 2x)(5x + -20) = 1200

Reorder the terms:
(20 + 2x)(-20 + 5x) = 1200

Multiply (20 + 2x) * (-20 + 5x)
(20(-20 + 5x) + 2x * (-20 + 5x)) = 1200
((-20 * 20 + 5x * 20) + 2x * (-20 + 5x)) = 1200
((-400 + 100x) + 2x * (-20 + 5x)) = 1200
(-400 + 100x + (-20 * 2x + 5x * 2x)) = 1200
(-400 + 100x + (-40x + 10x2)) = 1200

Combine like terms: 100x + -40x = 60x
(-400 + 60x + 10x2) = 1200

Solving
-400 + 60x + 10x2 = 1200

Solving for variable 'x'.

Reorder the terms:
-400 + -1200 + 60x + 10x2 = 1200 + -1200

Combine like terms: -400 + -1200 = -1600
-1600 + 60x + 10x2 = 1200 + -1200

Combine like terms: 1200 + -1200 = 0
-1600 + 60x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-160 + 6x + x2) = 0

Factor a trinomial.
10((-16 + -1x)(10 + -1x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

Subproblem 2
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
Solution
x = {-16, 10}

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