-2x(x-4)=20-x-12-x

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Solution for -2x(x-4)=20-x-12-x equation: 


Simplifying
-2x(x + -4) = 20 + -1x + -12 + -1x

Reorder the terms:
-2x(-4 + x) = 20 + -1x + -12 + -1x
(-4 * -2x + x * -2x) = 20 + -1x + -12 + -1x
(8x + -2x2) = 20 + -1x + -12 + -1x

Reorder the terms:
8x + -2x2 = 20 + -12 + -1x + -1x

Combine like terms: 20 + -12 = 8
8x + -2x2 = 8 + -1x + -1x

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

Solving
8x + -2x2 = 8 + -2x

Solving for variable 'x'.

Reorder the terms:
-8 + 8x + 2x + -2x2 = 8 + -2x + -8 + 2x

Combine like terms: 8x + 2x = 10x
-8 + 10x + -2x2 = 8 + -2x + -8 + 2x

Reorder the terms:
-8 + 10x + -2x2 = 8 + -8 + -2x + 2x

Combine like terms: 8 + -8 = 0
-8 + 10x + -2x2 = 0 + -2x + 2x
-8 + 10x + -2x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 5x + -1x2) = 0

Factor a trinomial.
2((-4 + x)(1 + -1x)) = 0

Ignore the factor 2.

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

Simplifying
-4 + x = 0

Solving
-4 + x = 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 + x = 0 + 4

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

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

Simplifying
x = 4

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {4, 1}

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