(2x-20)(5x+10)=

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Solution for (2x-20)(5x+10)= equation: 


Simplifying
(2x + -20)(5x + 10) = 0

Reorder the terms:
(-20 + 2x)(5x + 10) = 0

Reorder the terms:
(-20 + 2x)(10 + 5x) = 0

Multiply (-20 + 2x) * (10 + 5x)
(-20(10 + 5x) + 2x * (10 + 5x)) = 0
((10 * -20 + 5x * -20) + 2x * (10 + 5x)) = 0
((-200 + -100x) + 2x * (10 + 5x)) = 0
(-200 + -100x + (10 * 2x + 5x * 2x)) = 0
(-200 + -100x + (20x + 10x2)) = 0

Combine like terms: -100x + 20x = -80x
(-200 + -80x + 10x2) = 0

Solving
-200 + -80x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-20 + -8x + x2) = 0

Factor a trinomial.
10((-2 + -1x)(10 + -1x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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 = {-2, 10}

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