3w^2=24w

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Solution for 3w^2=24w equation:


Simplifying
3w2 = 24w

Solving
3w2 = 24w

Solving for variable 'w'.

Reorder the terms:
-24w + 3w2 = 24w + -24w

Combine like terms: 24w + -24w = 0
-24w + 3w2 = 0

Factor out the Greatest Common Factor (GCF), '3w'.
3w(-8 + w) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0

Subproblem 2

Set the factor '(-8 + w)' equal to zero and attempt to solve: Simplifying -8 + w = 0 Solving -8 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + w = 0 + 8 w = 0 + 8 Combine like terms: 0 + 8 = 8 w = 8 Simplifying w = 8

Solution

w = {0, 8}

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