(2x-5)(-4x)=

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


Simplifying
(2x + -5)(-4x) = 0

Reorder the terms:
(-5 + 2x)(-4x) = 0

Remove parenthesis around (-4x)
(-5 + 2x) * -4x = 0

Reorder the terms for easier multiplication:
-4x(-5 + 2x) = 0
(-5 * -4x + 2x * -4x) = 0
(20x + -8x2) = 0

Solving
20x + -8x2 = 0

Solving for variable 'x'.

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

Ignore the factor 4.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

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 = {0, 2.5}

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