3w^2=15w

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Solution for 3w^2=15w equation:


Simplifying
3w2 = 15w

Solving
3w2 = 15w

Solving for variable 'w'.

Reorder the terms:
-15w + 3w2 = 15w + -15w

Combine like terms: 15w + -15w = 0
-15w + 3w2 = 0

Factor out the Greatest Common Factor (GCF), '3w'.
3w(-5 + 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 '(-5 + w)' equal to zero and attempt to solve: Simplifying -5 + w = 0 Solving -5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + w = 0 + 5 w = 0 + 5 Combine like terms: 0 + 5 = 5 w = 5 Simplifying w = 5

Solution

w = {0, 5}

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