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

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


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

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

Multiply (2 + x) * (20 + -2x)
(2(20 + -2x) + x(20 + -2x)) = 5x
((20 * 2 + -2x * 2) + x(20 + -2x)) = 5x
((40 + -4x) + x(20 + -2x)) = 5x
(40 + -4x + (20 * x + -2x * x)) = 5x
(40 + -4x + (20x + -2x2)) = 5x

Combine like terms: -4x + 20x = 16x
(40 + 16x + -2x2) = 5x

Solving
40 + 16x + -2x2 = 5x

Solving for variable 'x'.

Reorder the terms:
40 + 16x + -5x + -2x2 = 5x + -5x

Combine like terms: 16x + -5x = 11x
40 + 11x + -2x2 = 5x + -5x

Combine like terms: 5x + -5x = 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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