3w^2=27w

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Solution for 3w^2=27w equation:


Simplifying
3w2 = 27w

Solving
3w2 = 27w

Solving for variable 'w'.

Reorder the terms:
-27w + 3w2 = 27w + -27w

Combine like terms: 27w + -27w = 0
-27w + 3w2 = 0

Factor out the Greatest Common Factor (GCF), '3w'.
3w(-9 + 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 '(-9 + w)' equal to zero and attempt to solve: Simplifying -9 + w = 0 Solving -9 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + w = 0 + 9 w = 0 + 9 Combine like terms: 0 + 9 = 9 w = 9 Simplifying w = 9

Solution

w = {0, 9}

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