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Simplifying 5m2 + -14m = -6m Reorder the terms: -14m + 5m2 = -6m Solving -14m + 5m2 = -6m Solving for variable 'm'. Reorder the terms: -14m + 6m + 5m2 = -6m + 6m Combine like terms: -14m + 6m = -8m -8m + 5m2 = -6m + 6m Combine like terms: -6m + 6m = 0 -8m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-8 + 5m) = 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 '(-8 + 5m)' equal to zero and attempt to solve: Simplifying -8 + 5m = 0 Solving -8 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5m = 0 + 8 5m = 0 + 8 Combine like terms: 0 + 8 = 8 5m = 8 Divide each side by '5'. m = 1.6 Simplifying m = 1.6Solution
m = {0, 1.6}
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