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Simplifying 6m2 + 4m + 10m + -5m = 40m2 Reorder the terms: 4m + 10m + -5m + 6m2 = 40m2 Combine like terms: 4m + 10m = 14m 14m + -5m + 6m2 = 40m2 Combine like terms: 14m + -5m = 9m 9m + 6m2 = 40m2 Solving 9m + 6m2 = 40m2 Solving for variable 'm'. Combine like terms: 6m2 + -40m2 = -34m2 9m + -34m2 = 40m2 + -40m2 Combine like terms: 40m2 + -40m2 = 0 9m + -34m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(9 + -34m) = 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 '(9 + -34m)' equal to zero and attempt to solve: Simplifying 9 + -34m = 0 Solving 9 + -34m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -34m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -34m = 0 + -9 -34m = 0 + -9 Combine like terms: 0 + -9 = -9 -34m = -9 Divide each side by '-34'. m = 0.2647058824 Simplifying m = 0.2647058824Solution
m = {0, 0.2647058824}
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