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Simplifying 4(3 + -1m) + -5m(m + -3) = 0 (3 * 4 + -1m * 4) + -5m(m + -3) = 0 (12 + -4m) + -5m(m + -3) = 0 Reorder the terms: 12 + -4m + -5m(-3 + m) = 0 12 + -4m + (-3 * -5m + m * -5m) = 0 12 + -4m + (15m + -5m2) = 0 Combine like terms: -4m + 15m = 11m 12 + 11m + -5m2 = 0 Solving 12 + 11m + -5m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -1m)(4 + 5m) = 0Subproblem 1
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 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 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Subproblem 2
Set the factor '(4 + 5m)' equal to zero and attempt to solve: Simplifying 4 + 5m = 0 Solving 4 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5m = 0 + -4 5m = 0 + -4 Combine like terms: 0 + -4 = -4 5m = -4 Divide each side by '5'. m = -0.8 Simplifying m = -0.8Solution
m = {3, -0.8}
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