x^2=2(2x)

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Solution for x^2=2(2x) equation:


Simplifying
x2 = 2(2x)

Remove parenthesis around (2x)
x2 = 2 * 2x

Multiply 2 * 2
x2 = 4x

Solving
x2 = 4x

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + x) = 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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4

Solution

x = {0, 4}

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