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Simplifying -4m(5m + 2) + -3m = 0 Reorder the terms: -4m(2 + 5m) + -3m = 0 (2 * -4m + 5m * -4m) + -3m = 0 (-8m + -20m2) + -3m = 0 Reorder the terms: -8m + -3m + -20m2 = 0 Combine like terms: -8m + -3m = -11m -11m + -20m2 = 0 Solving -11m + -20m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-1m'. -1m(11 + 20m) = 0 Ignore the factor -1.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 '(11 + 20m)' equal to zero and attempt to solve: Simplifying 11 + 20m = 0 Solving 11 + 20m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 20m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 20m = 0 + -11 20m = 0 + -11 Combine like terms: 0 + -11 = -11 20m = -11 Divide each side by '20'. m = -0.55 Simplifying m = -0.55Solution
m = {0, -0.55}
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