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Simplifying (m2 + 4m) + -1(5m2 + 3m) = 0 Reorder the terms: (4m + m2) + -1(5m2 + 3m) = 0 Remove parenthesis around (4m + m2) 4m + m2 + -1(5m2 + 3m) = 0 Reorder the terms: 4m + m2 + -1(3m + 5m2) = 0 4m + m2 + (3m * -1 + 5m2 * -1) = 0 4m + m2 + (-3m + -5m2) = 0 Reorder the terms: 4m + -3m + m2 + -5m2 = 0 Combine like terms: 4m + -3m = 1m 1m + m2 + -5m2 = 0 Combine like terms: m2 + -5m2 = -4m2 1m + -4m2 = 0 Solving 1m + -4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(1 + -4m) = 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 '(1 + -4m)' equal to zero and attempt to solve: Simplifying 1 + -4m = 0 Solving 1 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4m = 0 + -1 -4m = 0 + -1 Combine like terms: 0 + -1 = -1 -4m = -1 Divide each side by '-4'. m = 0.25 Simplifying m = 0.25Solution
m = {0, 0.25}
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