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Simplifying (10m3 + 4m2) + (7m2 + 3m) = 0 Reorder the terms: (4m2 + 10m3) + (7m2 + 3m) = 0 Remove parenthesis around (4m2 + 10m3) 4m2 + 10m3 + (7m2 + 3m) = 0 Reorder the terms: 4m2 + 10m3 + (3m + 7m2) = 0 Remove parenthesis around (3m + 7m2) 4m2 + 10m3 + 3m + 7m2 = 0 Reorder the terms: 3m + 4m2 + 7m2 + 10m3 = 0 Combine like terms: 4m2 + 7m2 = 11m2 3m + 11m2 + 10m3 = 0 Solving 3m + 11m2 + 10m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(3 + 11m + 10m2) = 0 Factor a trinomial. m((3 + 5m)(1 + 2m)) = 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 '(3 + 5m)' equal to zero and attempt to solve: Simplifying 3 + 5m = 0 Solving 3 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5m = 0 + -3 5m = 0 + -3 Combine like terms: 0 + -3 = -3 5m = -3 Divide each side by '5'. m = -0.6 Simplifying m = -0.6Subproblem 3
Set the factor '(1 + 2m)' equal to zero and attempt to solve: Simplifying 1 + 2m = 0 Solving 1 + 2m = 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 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5Solution
m = {0, -0.6, -0.5}
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