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Simplifying 0 = 7m(8m + -7) Reorder the terms: 0 = 7m(-7 + 8m) 0 = (-7 * 7m + 8m * 7m) 0 = (-49m + 56m2) Solving 0 = -49m + 56m2 Solving for variable 'm'. Remove the zero: 49m + -56m2 = -49m + 56m2 + 49m + -56m2 Reorder the terms: 49m + -56m2 = -49m + 49m + 56m2 + -56m2 Combine like terms: -49m + 49m = 0 49m + -56m2 = 0 + 56m2 + -56m2 49m + -56m2 = 56m2 + -56m2 Combine like terms: 56m2 + -56m2 = 0 49m + -56m2 = 0 Factor out the Greatest Common Factor (GCF), '7m'. 7m(7 + -8m) = 0 Ignore the factor 7.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 '(7 + -8m)' equal to zero and attempt to solve: Simplifying 7 + -8m = 0 Solving 7 + -8m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8m = 0 + -7 -8m = 0 + -7 Combine like terms: 0 + -7 = -7 -8m = -7 Divide each side by '-8'. m = 0.875 Simplifying m = 0.875Solution
m = {0, 0.875}
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