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Simplifying 4(2m + 3m) + 7m(3m + -4m) = 0 Combine like terms: 2m + 3m = 5m 4(5m) + 7m(3m + -4m) = 0 Remove parenthesis around (5m) 4 * 5m + 7m(3m + -4m) = 0 Multiply 4 * 5 20m + 7m(3m + -4m) = 0 Combine like terms: 3m + -4m = -1m 20m + 7m(-1m) = 0 Remove parenthesis around (-1m) 20m + 7m * -1m = 0 Reorder the terms for easier multiplication: 20m + 7 * -1m * m = 0 Multiply 7 * -1 20m + -7m * m = 0 Multiply m * m 20m + -7m2 = 0 Solving 20m + -7m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(20 + -7m) = 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 '(20 + -7m)' equal to zero and attempt to solve: Simplifying 20 + -7m = 0 Solving 20 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -7m = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -7m = 0 + -20 -7m = 0 + -20 Combine like terms: 0 + -20 = -20 -7m = -20 Divide each side by '-7'. m = 2.857142857 Simplifying m = 2.857142857Solution
m = {0, 2.857142857}
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