8x^2=48x

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Solution for 8x^2=48x equation:


Simplifying
8x2 = 48x

Solving
8x2 = 48x

Solving for variable 'x'.

Reorder the terms:
-48x + 8x2 = 48x + -48x

Combine like terms: 48x + -48x = 0
-48x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8x'.
8x(-6 + x) = 0

Ignore the factor 8.

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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6

Solution

x = {0, 6}

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