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Simplifying 4m2 = -32m Solving 4m2 = -32m Solving for variable 'm'. Reorder the terms: 32m + 4m2 = -32m + 32m Combine like terms: -32m + 32m = 0 32m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), '4m'. 4m(8 + m) = 0 Ignore the factor 4.Subproblem 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 '(8 + m)' equal to zero and attempt to solve: Simplifying 8 + m = 0 Solving 8 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m = 0 + -8 m = 0 + -8 Combine like terms: 0 + -8 = -8 m = -8 Simplifying m = -8Solution
m = {0, -8}
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