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Simplifying 8m2 = -45m Solving 8m2 = -45m Solving for variable 'm'. Reorder the terms: 45m + 8m2 = -45m + 45m Combine like terms: -45m + 45m = 0 45m + 8m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(45 + 8m) = 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 '(45 + 8m)' equal to zero and attempt to solve: Simplifying 45 + 8m = 0 Solving 45 + 8m = 0 Move all terms containing m to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 8m = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 8m = 0 + -45 8m = 0 + -45 Combine like terms: 0 + -45 = -45 8m = -45 Divide each side by '8'. m = -5.625 Simplifying m = -5.625Solution
m = {0, -5.625}
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