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Simplifying 20m2 + 75m + 70 = 0 Reorder the terms: 70 + 75m + 20m2 = 0 Solving 70 + 75m + 20m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5'. 5(14 + 15m + 4m2) = 0 Factor a trinomial. 5((2 + m)(7 + 4m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Subproblem 2
Set the factor '(7 + 4m)' equal to zero and attempt to solve: Simplifying 7 + 4m = 0 Solving 7 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4m = 0 + -7 4m = 0 + -7 Combine like terms: 0 + -7 = -7 4m = -7 Divide each side by '4'. m = -1.75 Simplifying m = -1.75Solution
m = {-2, -1.75}
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