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Simplifying 7m(2 + -1m) + -1[3m(8 + m) + -1m] = 0 (2 * 7m + -1m * 7m) + -1[3m(8 + m) + -1m] = 0 (14m + -7m2) + -1[3m(8 + m) + -1m] = 0 14m + -7m2 + -1[(8 * 3m + m * 3m) + -1m] = 0 14m + -7m2 + -1[(24m + 3m2) + -1m] = 0 Reorder the terms: 14m + -7m2 + -1[24m + -1m + 3m2] = 0 Combine like terms: 24m + -1m = 23m 14m + -7m2 + -1[23m + 3m2] = 0 14m + -7m2 + [23m * -1 + 3m2 * -1] = 0 14m + -7m2 + [-23m + -3m2] = 0 Reorder the terms: 14m + -23m + -7m2 + -3m2 = 0 Combine like terms: 14m + -23m = -9m -9m + -7m2 + -3m2 = 0 Combine like terms: -7m2 + -3m2 = -10m2 -9m + -10m2 = 0 Solving -9m + -10m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-1m'. -1m(9 + 10m) = 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 '(9 + 10m)' equal to zero and attempt to solve: Simplifying 9 + 10m = 0 Solving 9 + 10m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 10m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10m = 0 + -9 10m = 0 + -9 Combine like terms: 0 + -9 = -9 10m = -9 Divide each side by '10'. m = -0.9 Simplifying m = -0.9Solution
m = {0, -0.9}
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