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Simplifying 21m2 + 240m + 300 = 0 Reorder the terms: 300 + 240m + 21m2 = 0 Solving 300 + 240m + 21m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(100 + 80m + 7m2) = 0 Factor a trinomial. 3((10 + m)(10 + 7m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10Subproblem 2
Set the factor '(10 + 7m)' equal to zero and attempt to solve: Simplifying 10 + 7m = 0 Solving 10 + 7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7m = 0 + -10 7m = 0 + -10 Combine like terms: 0 + -10 = -10 7m = -10 Divide each side by '7'. m = -1.428571429 Simplifying m = -1.428571429Solution
m = {-10, -1.428571429}
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