20x^2-16x=4x

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Solution for 20x^2-16x=4x equation:


Simplifying
20x2 + -16x = 4x

Reorder the terms:
-16x + 20x2 = 4x

Solving
-16x + 20x2 = 4x

Solving for variable 'x'.

Reorder the terms:
-16x + -4x + 20x2 = 4x + -4x

Combine like terms: -16x + -4x = -20x
-20x + 20x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-20x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '20x'.
20x(-1 + x) = 0

Ignore the factor 20.

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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1

Solution

x = {0, 1}

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