3*w*w=2*w+4*w

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Solution for 3*w*w=2*w+4*w equation:


Simplifying
3w * w = 2w + 4w

Multiply w * w
3w2 = 2w + 4w

Combine like terms: 2w + 4w = 6w
3w2 = 6w

Solving
3w2 = 6w

Solving for variable 'w'.

Reorder the terms:
-6w + 3w2 = 6w + -6w

Combine like terms: 6w + -6w = 0
-6w + 3w2 = 0

Factor out the Greatest Common Factor (GCF), '3w'.
3w(-2 + 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 '(-2 + w)' equal to zero and attempt to solve: Simplifying -2 + w = 0 Solving -2 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + w = 0 + 2 w = 0 + 2 Combine like terms: 0 + 2 = 2 w = 2 Simplifying w = 2

Solution

w = {0, 2}

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