(2x)x=8x

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Solution for (2x)x=8x equation:


Simplifying
(2x) * x = 8x

Remove parenthesis around (2x)
2x * x = 8x

Multiply x * x
2x2 = 8x

Solving
2x2 = 8x

Solving for variable 'x'.

Reorder the terms:
-8x + 2x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-8x + 2x2 = 0

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

Ignore the factor 2.

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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