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Simplifying 2w + 2w2 = 24m2 Solving 2w + 2w2 = 24m2 Solving for variable 'w'. Reorder the terms: -24m2 + 2w + 2w2 = 24m2 + -24m2 Combine like terms: 24m2 + -24m2 = 0 -24m2 + 2w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12m2 + w + w2) = 0 Factor a trinomial. 2((-4m + -1w)(3m + -1w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4m + -1w)' equal to zero and attempt to solve: Simplifying -4m + -1w = 0 Solving -4m + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '4m' to each side of the equation. -4m + 4m + -1w = 0 + 4m Combine like terms: -4m + 4m = 0 0 + -1w = 0 + 4m -1w = 0 + 4m Remove the zero: -1w = 4m Divide each side by '-1'. w = -4m Simplifying w = -4mSubproblem 2
Set the factor '(3m + -1w)' equal to zero and attempt to solve: Simplifying 3m + -1w = 0 Solving 3m + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3m' to each side of the equation. 3m + -3m + -1w = 0 + -3m Combine like terms: 3m + -3m = 0 0 + -1w = 0 + -3m -1w = 0 + -3m Remove the zero: -1w = -3m Divide each side by '-1'. w = 3m Simplifying w = 3mSolution
w = {-4m, 3m}
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