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

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


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

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

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

Multiply (10 + 2x) * (-2 + x)
(10(-2 + x) + 2x * (-2 + x)) = -20
((-2 * 10 + x * 10) + 2x * (-2 + x)) = -20
((-20 + 10x) + 2x * (-2 + x)) = -20
(-20 + 10x + (-2 * 2x + x * 2x)) = -20
(-20 + 10x + (-4x + 2x2)) = -20

Combine like terms: 10x + -4x = 6x
(-20 + 6x + 2x2) = -20

Add '20' to each side of the equation.
-20 + 6x + 20 + 2x2 = -20 + 20

Reorder the terms:
-20 + 20 + 6x + 2x2 = -20 + 20

Combine like terms: -20 + 20 = 0
0 + 6x + 2x2 = -20 + 20
6x + 2x2 = -20 + 20

Combine like terms: -20 + 20 = 0
6x + 2x2 = 0

Solving
6x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(3 + x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0, -3}

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