-8x(2x-9)=20-12x

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Solution for -8x(2x-9)=20-12x equation: 


Simplifying
-8x(2x + -9) = 20 + -12x

Reorder the terms:
-8x(-9 + 2x) = 20 + -12x
(-9 * -8x + 2x * -8x) = 20 + -12x
(72x + -16x2) = 20 + -12x

Solving
72x + -16x2 = 20 + -12x

Solving for variable 'x'.

Reorder the terms:
-20 + 72x + 12x + -16x2 = 20 + -12x + -20 + 12x

Combine like terms: 72x + 12x = 84x
-20 + 84x + -16x2 = 20 + -12x + -20 + 12x

Reorder the terms:
-20 + 84x + -16x2 = 20 + -20 + -12x + 12x

Combine like terms: 20 + -20 = 0
-20 + 84x + -16x2 = 0 + -12x + 12x
-20 + 84x + -16x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
-20 + 84x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + 21x + -4x2) = 0

Factor a trinomial.
4((-5 + x)(1 + -4x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 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 + x = 0 + 5

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

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

Simplifying
x = 5

Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {5, 0.25}

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