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Simplifying 5m2 + 7m + -10 = 2 Reorder the terms: -10 + 7m + 5m2 = 2 Solving -10 + 7m + 5m2 = 2 Solving for variable 'm'. Reorder the terms: -10 + -2 + 7m + 5m2 = 2 + -2 Combine like terms: -10 + -2 = -12 -12 + 7m + 5m2 = 2 + -2 Combine like terms: 2 + -2 = 0 -12 + 7m + 5m2 = 0 Factor a trinomial. (-12 + -5m)(1 + -1m) = 0Subproblem 1
Set the factor '(-12 + -5m)' equal to zero and attempt to solve: Simplifying -12 + -5m = 0 Solving -12 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5m = 0 + 12 -5m = 0 + 12 Combine like terms: 0 + 12 = 12 -5m = 12 Divide each side by '-5'. m = -2.4 Simplifying m = -2.4Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {-2.4, 1}
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