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

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Solution for (x+2)(2x-20)=0 equation: 


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

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

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

Multiply (2 + x) * (-20 + 2x)
(2(-20 + 2x) + x(-20 + 2x)) = 0
((-20 * 2 + 2x * 2) + x(-20 + 2x)) = 0
((-40 + 4x) + x(-20 + 2x)) = 0
(-40 + 4x + (-20 * x + 2x * x)) = 0
(-40 + 4x + (-20x + 2x2)) = 0

Combine like terms: 4x + -20x = -16x
(-40 + -16x + 2x2) = 0

Solving
-40 + -16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + -8x + x2) = 0

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

Ignore the factor 2.

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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