(20-x)x=4x

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


Simplifying
(20 + -1x) * x = 4x

Reorder the terms for easier multiplication:
x(20 + -1x) = 4x
(20 * x + -1x * x) = 4x
(20x + -1x2) = 4x

Solving
20x + -1x2 = 4x

Solving for variable 'x'.

Reorder the terms:
20x + -4x + -1x2 = 4x + -4x

Combine like terms: 20x + -4x = 16x
16x + -1x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
16x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(16 + -1x) = 0

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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16

Solution

x = {0, 16}

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