-4x(2x-5)=8

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Solution for -4x(2x-5)=8 equation: 


Simplifying
-4x(2x + -5) = 8

Reorder the terms:
-4x(-5 + 2x) = 8
(-5 * -4x + 2x * -4x) = 8
(20x + -8x2) = 8

Solving
20x + -8x2 = 8

Solving for variable 'x'.

Reorder the terms:
-8 + 20x + -8x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 20x + -8x2 = 0

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

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

Ignore the factor 4.

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

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

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

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

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

Simplifying
x = 2

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {2, 0.5}

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