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Simplifying 7m(m + -12) = 5m Reorder the terms: 7m(-12 + m) = 5m (-12 * 7m + m * 7m) = 5m (-84m + 7m2) = 5m Solving -84m + 7m2 = 5m Solving for variable 'm'. Reorder the terms: -84m + -5m + 7m2 = 5m + -5m Combine like terms: -84m + -5m = -89m -89m + 7m2 = 5m + -5m Combine like terms: 5m + -5m = 0 -89m + 7m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-89 + 7m) = 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 '(-89 + 7m)' equal to zero and attempt to solve: Simplifying -89 + 7m = 0 Solving -89 + 7m = 0 Move all terms containing m to the left, all other terms to the right. Add '89' to each side of the equation. -89 + 89 + 7m = 0 + 89 Combine like terms: -89 + 89 = 0 0 + 7m = 0 + 89 7m = 0 + 89 Combine like terms: 0 + 89 = 89 7m = 89 Divide each side by '7'. m = 12.71428571 Simplifying m = 12.71428571Solution
m = {0, 12.71428571}
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