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

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


Simplifying
x = 2(x2 + -5x + -20)

Reorder the terms:
x = 2(-20 + -5x + x2)
x = (-20 * 2 + -5x * 2 + x2 * 2)
x = (-40 + -10x + 2x2)

Solving
x = -40 + -10x + 2x2

Solving for variable 'x'.

Reorder the terms:
40 + x + 10x + -2x2 = -40 + -10x + 2x2 + 40 + 10x + -2x2

Combine like terms: x + 10x = 11x
40 + 11x + -2x2 = -40 + -10x + 2x2 + 40 + 10x + -2x2

Reorder the terms:
40 + 11x + -2x2 = -40 + 40 + -10x + 10x + 2x2 + -2x2

Combine like terms: -40 + 40 = 0
40 + 11x + -2x2 = 0 + -10x + 10x + 2x2 + -2x2
40 + 11x + -2x2 = -10x + 10x + 2x2 + -2x2

Combine like terms: -10x + 10x = 0
40 + 11x + -2x2 = 0 + 2x2 + -2x2
40 + 11x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
40 + 11x + -2x2 = 0

Factor a trinomial.
(8 + -1x)(5 + 2x) = 0


Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {8, -2.5}

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