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Simplifying (5m2 + m) * 7m = 0 Reorder the terms: (m + 5m2) * 7m = 0 Reorder the terms for easier multiplication: 7m(m + 5m2) = 0 (m * 7m + 5m2 * 7m) = 0 (7m2 + 35m3) = 0 Solving 7m2 + 35m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '7m2'. 7m2(1 + 5m) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
Set the factor '(1 + 5m)' equal to zero and attempt to solve: Simplifying 1 + 5m = 0 Solving 1 + 5m = 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 + 5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5m = 0 + -1 5m = 0 + -1 Combine like terms: 0 + -1 = -1 5m = -1 Divide each side by '5'. m = -0.2 Simplifying m = -0.2Solution
m = {0, -0.2}
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