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Simplifying -2m2 + -7m + -98 = -5m2 Reorder the terms: -98 + -7m + -2m2 = -5m2 Solving -98 + -7m + -2m2 = -5m2 Solving for variable 'm'. Combine like terms: -2m2 + 5m2 = 3m2 -98 + -7m + 3m2 = -5m2 + 5m2 Combine like terms: -5m2 + 5m2 = 0 -98 + -7m + 3m2 = 0 Factor a trinomial. (-14 + -3m)(7 + -1m) = 0Subproblem 1
Set the factor '(-14 + -3m)' equal to zero and attempt to solve: Simplifying -14 + -3m = 0 Solving -14 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3m = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3m = 0 + 14 -3m = 0 + 14 Combine like terms: 0 + 14 = 14 -3m = 14 Divide each side by '-3'. m = -4.666666667 Simplifying m = -4.666666667Subproblem 2
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 = 7Solution
m = {-4.666666667, 7}
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