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Simplifying -4m(2m + -1) + 7m = 0 Reorder the terms: -4m(-1 + 2m) + 7m = 0 (-1 * -4m + 2m * -4m) + 7m = 0 (4m + -8m2) + 7m = 0 Reorder the terms: 4m + 7m + -8m2 = 0 Combine like terms: 4m + 7m = 11m 11m + -8m2 = 0 Solving 11m + -8m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(11 + -8m) = 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 '(11 + -8m)' equal to zero and attempt to solve: Simplifying 11 + -8m = 0 Solving 11 + -8m = 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 + -8m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8m = 0 + -11 -8m = 0 + -11 Combine like terms: 0 + -11 = -11 -8m = -11 Divide each side by '-8'. m = 1.375 Simplifying m = 1.375Solution
m = {0, 1.375}
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