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Simplifying 55m2 = (w)(-4mw) Remove parenthesis around (-4mw) 55m2 = w * -4mw Reorder the terms for easier multiplication: 55m2 = -4w * mw Multiply w * mw 55m2 = -4mw2 Solving 55m2 = -4mw2 Solving for variable 'm'. Reorder the terms: 4mw2 + 55m2 = -4mw2 + 4mw2 Combine like terms: -4mw2 + 4mw2 = 0 4mw2 + 55m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(4w2 + 55m) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(4w2 + 55m)' equal to zero and attempt to solve: Simplifying 4w2 + 55m = 0 Reorder the terms: 55m + 4w2 = 0 Solving 55m + 4w2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-4w2' to each side of the equation. 55m + 4w2 + -4w2 = 0 + -4w2 Combine like terms: 4w2 + -4w2 = 0 55m + 0 = 0 + -4w2 55m = 0 + -4w2 Remove the zero: 55m = -4w2 Divide each side by '55'. m = -0.07272727273w2 Simplifying m = -0.07272727273w2Solution
m = {0, -0.07272727273w2}
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