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Simplifying (w) * w + 4 = 96m2 Multiply w * w w2 + 4 = 96m2 Reorder the terms: 4 + w2 = 96m2 Solving 4 + w2 = 96m2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w2 = -4 + 96m2 Combine like terms: 4 + -4 = 0 0 + w2 = -4 + 96m2 w2 = -4 + 96m2 Simplifying w2 = -4 + 96m2 Reorder the terms: 4 + -96m2 + w2 = -4 + 96m2 + 4 + -96m2 Reorder the terms: 4 + -96m2 + w2 = -4 + 4 + 96m2 + -96m2 Combine like terms: -4 + 4 = 0 4 + -96m2 + w2 = 0 + 96m2 + -96m2 4 + -96m2 + w2 = 96m2 + -96m2 Combine like terms: 96m2 + -96m2 = 0 4 + -96m2 + w2 = 0 Factor a trinomial. (-12m + -1w)(8m + -1w) = 0Subproblem 1
Set the factor '(-12m + -1w)' equal to zero and attempt to solve: Simplifying -12m + -1w = 0 Solving -12m + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '12m' to each side of the equation. -12m + 12m + -1w = 0 + 12m Combine like terms: -12m + 12m = 0 0 + -1w = 0 + 12m -1w = 0 + 12m Remove the zero: -1w = 12m Divide each side by '-1'. w = -12m Simplifying w = -12mSubproblem 2
Set the factor '(8m + -1w)' equal to zero and attempt to solve: Simplifying 8m + -1w = 0 Solving 8m + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8m' to each side of the equation. 8m + -8m + -1w = 0 + -8m Combine like terms: 8m + -8m = 0 0 + -1w = 0 + -8m -1w = 0 + -8m Remove the zero: -1w = -8m Divide each side by '-1'. w = 8m Simplifying w = 8mSolution
w = {-12m, 8m}
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