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Simplifying -10m2 + 40m + 210 = 0 Reorder the terms: 210 + 40m + -10m2 = 0 Solving 210 + 40m + -10m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '10'. 10(21 + 4m + -1m2) = 0 Factor a trinomial. 10((7 + -1m)(3 + m)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 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 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Solution
m = {7, -3}
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