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Simplifying 4m2 + 17m + -17 = -5 + -3m2 Reorder the terms: -17 + 17m + 4m2 = -5 + -3m2 Solving -17 + 17m + 4m2 = -5 + -3m2 Solving for variable 'm'. Reorder the terms: -17 + 5 + 17m + 4m2 + 3m2 = -5 + -3m2 + 5 + 3m2 Combine like terms: -17 + 5 = -12 -12 + 17m + 4m2 + 3m2 = -5 + -3m2 + 5 + 3m2 Combine like terms: 4m2 + 3m2 = 7m2 -12 + 17m + 7m2 = -5 + -3m2 + 5 + 3m2 Reorder the terms: -12 + 17m + 7m2 = -5 + 5 + -3m2 + 3m2 Combine like terms: -5 + 5 = 0 -12 + 17m + 7m2 = 0 + -3m2 + 3m2 -12 + 17m + 7m2 = -3m2 + 3m2 Combine like terms: -3m2 + 3m2 = 0 -12 + 17m + 7m2 = 0 Factor a trinomial. (-3 + -1m)(4 + -7m) = 0Subproblem 1
Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 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 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 2
Set the factor '(4 + -7m)' equal to zero and attempt to solve: Simplifying 4 + -7m = 0 Solving 4 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7m = 0 + -4 -7m = 0 + -4 Combine like terms: 0 + -4 = -4 -7m = -4 Divide each side by '-7'. m = 0.5714285714 Simplifying m = 0.5714285714Solution
m = {-3, 0.5714285714}
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