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Simplifying 6m2 + 7m + -5 = 2m + -5 Reorder the terms: -5 + 7m + 6m2 = 2m + -5 Reorder the terms: -5 + 7m + 6m2 = -5 + 2m Add '5' to each side of the equation. -5 + 7m + 5 + 6m2 = -5 + 5 + 2m Reorder the terms: -5 + 5 + 7m + 6m2 = -5 + 5 + 2m Combine like terms: -5 + 5 = 0 0 + 7m + 6m2 = -5 + 5 + 2m 7m + 6m2 = -5 + 5 + 2m Combine like terms: -5 + 5 = 0 7m + 6m2 = 0 + 2m 7m + 6m2 = 2m Solving 7m + 6m2 = 2m Solving for variable 'm'. Reorder the terms: 7m + -2m + 6m2 = 2m + -2m Combine like terms: 7m + -2m = 5m 5m + 6m2 = 2m + -2m Combine like terms: 2m + -2m = 0 5m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(5 + 6m) = 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 '(5 + 6m)' equal to zero and attempt to solve: Simplifying 5 + 6m = 0 Solving 5 + 6m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6m = 0 + -5 6m = 0 + -5 Combine like terms: 0 + -5 = -5 6m = -5 Divide each side by '6'. m = -0.8333333333 Simplifying m = -0.8333333333Solution
m = {0, -0.8333333333}
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