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Simplifying 6m2 + 13m * 28 = 0 Reorder the terms for easier multiplication: 6m2 + 13 * 28m = 0 Multiply 13 * 28 6m2 + 364m = 0 Reorder the terms: 364m + 6m2 = 0 Solving 364m + 6m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(182 + 3m) = 0 Ignore the factor 2.Subproblem 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 '(182 + 3m)' equal to zero and attempt to solve: Simplifying 182 + 3m = 0 Solving 182 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-182' to each side of the equation. 182 + -182 + 3m = 0 + -182 Combine like terms: 182 + -182 = 0 0 + 3m = 0 + -182 3m = 0 + -182 Combine like terms: 0 + -182 = -182 3m = -182 Divide each side by '3'. m = -60.66666667 Simplifying m = -60.66666667Solution
m = {0, -60.66666667}
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