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Simplifying 2m(7) * m + -7m + 12m = 0 Reorder the terms for easier multiplication: 2 * 7m * m + -7m + 12m = 0 Multiply 2 * 7 14m * m + -7m + 12m = 0 Multiply m * m 14m2 + -7m + 12m = 0 Reorder the terms: -7m + 12m + 14m2 = 0 Combine like terms: -7m + 12m = 5m 5m + 14m2 = 0 Solving 5m + 14m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(5 + 14m) = 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 + 14m)' equal to zero and attempt to solve: Simplifying 5 + 14m = 0 Solving 5 + 14m = 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 + 14m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 14m = 0 + -5 14m = 0 + -5 Combine like terms: 0 + -5 = -5 14m = -5 Divide each side by '14'. m = -0.3571428571 Simplifying m = -0.3571428571Solution
m = {0, -0.3571428571}
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