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Simplifying 2m2 + 27m + 70 = 0 Reorder the terms: 70 + 27m + 2m2 = 0 Solving 70 + 27m + 2m2 = 0 Solving for variable 'm'. Factor a trinomial. (10 + m)(7 + 2m) = 0Subproblem 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 '(7 + 2m)' equal to zero and attempt to solve: Simplifying 7 + 2m = 0 Solving 7 + 2m = 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 + 2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2m = 0 + -7 2m = 0 + -7 Combine like terms: 0 + -7 = -7 2m = -7 Divide each side by '2'. m = -3.5 Simplifying m = -3.5Solution
m = {-10, -3.5}
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