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Simplifying w2 + 20wm + 96m2 = 0 Reorder the terms: 20mw + 96m2 + w2 = 0 Solving 20mw + 96m2 + w2 = 0 Solving for variable 'm'. Factor a trinomial. (12m + w)(8m + w) = 0Subproblem 1
Set the factor '(12m + w)' equal to zero and attempt to solve: Simplifying 12m + w = 0 Solving 12m + w = 0 Move all terms containing m to the left, all other terms to the right. Add '-1w' to each side of the equation. 12m + w + -1w = 0 + -1w Combine like terms: w + -1w = 0 12m + 0 = 0 + -1w 12m = 0 + -1w Remove the zero: 12m = -1w Divide each side by '12'. m = -0.08333333333w Simplifying m = -0.08333333333wSubproblem 2
Set the factor '(8m + w)' equal to zero and attempt to solve: Simplifying 8m + w = 0 Solving 8m + w = 0 Move all terms containing m to the left, all other terms to the right. Add '-1w' to each side of the equation. 8m + w + -1w = 0 + -1w Combine like terms: w + -1w = 0 8m + 0 = 0 + -1w 8m = 0 + -1w Remove the zero: 8m = -1w Divide each side by '8'. m = -0.125w Simplifying m = -0.125wSolution
m = {-0.08333333333w, -0.125w}
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