2x(x+3)-x(x-20)=x^2+4x-8

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Solution for 2x(x+3)-x(x-20)=x^2+4x-8 equation: 


Simplifying
2x(x + 3) + -1x(x + -20) = x2 + 4x + -8

Reorder the terms:
2x(3 + x) + -1x(x + -20) = x2 + 4x + -8
(3 * 2x + x * 2x) + -1x(x + -20) = x2 + 4x + -8
(6x + 2x2) + -1x(x + -20) = x2 + 4x + -8

Reorder the terms:
6x + 2x2 + -1x(-20 + x) = x2 + 4x + -8
6x + 2x2 + (-20 * -1x + x * -1x) = x2 + 4x + -8
6x + 2x2 + (20x + -1x2) = x2 + 4x + -8

Reorder the terms:
6x + 20x + 2x2 + -1x2 = x2 + 4x + -8

Combine like terms: 6x + 20x = 26x
26x + 2x2 + -1x2 = x2 + 4x + -8

Combine like terms: 2x2 + -1x2 = 1x2
26x + 1x2 = x2 + 4x + -8

Reorder the terms:
26x + 1x2 = -8 + 4x + x2

Solving
26x + 1x2 = -8 + 4x + x2

Solving for variable 'x'.

Reorder the terms:
8 + 26x + -4x + 1x2 + -1x2 = -8 + 4x + x2 + 8 + -4x + -1x2

Combine like terms: 26x + -4x = 22x
8 + 22x + 1x2 + -1x2 = -8 + 4x + x2 + 8 + -4x + -1x2

Combine like terms: 1x2 + -1x2 = 0
8 + 22x + 0 = -8 + 4x + x2 + 8 + -4x + -1x2
8 + 22x = -8 + 4x + x2 + 8 + -4x + -1x2

Reorder the terms:
8 + 22x = -8 + 8 + 4x + -4x + x2 + -1x2

Combine like terms: -8 + 8 = 0
8 + 22x = 0 + 4x + -4x + x2 + -1x2
8 + 22x = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
8 + 22x = 0 + x2 + -1x2
8 + 22x = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + 22x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 11x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 11x)' equal to zero and attempt to solve:

Simplifying
4 + 11x = 0

Solving
4 + 11x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 11x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 11x = 0 + -4
11x = 0 + -4

Combine like terms: 0 + -4 = -4
11x = -4

Divide each side by '11'.
x = -0.3636363636

Simplifying
x = -0.3636363636
Solution
x = {-0.3636363636}

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