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Simplifying 30m2 + -17m + -25 = -4 Reorder the terms: -25 + -17m + 30m2 = -4 Solving -25 + -17m + 30m2 = -4 Solving for variable 'm'. Reorder the terms: -25 + 4 + -17m + 30m2 = -4 + 4 Combine like terms: -25 + 4 = -21 -21 + -17m + 30m2 = -4 + 4 Combine like terms: -4 + 4 = 0 -21 + -17m + 30m2 = 0 Factor a trinomial. (-3 + -5m)(7 + -6m) = 0Subproblem 1
Set the factor '(-3 + -5m)' equal to zero and attempt to solve: Simplifying -3 + -5m = 0 Solving -3 + -5m = 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 + -5m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5m = 0 + 3 -5m = 0 + 3 Combine like terms: 0 + 3 = 3 -5m = 3 Divide each side by '-5'. m = -0.6 Simplifying m = -0.6Subproblem 2
Set the factor '(7 + -6m)' equal to zero and attempt to solve: Simplifying 7 + -6m = 0 Solving 7 + -6m = 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 + -6m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6m = 0 + -7 -6m = 0 + -7 Combine like terms: 0 + -7 = -7 -6m = -7 Divide each side by '-6'. m = 1.166666667 Simplifying m = 1.166666667Solution
m = {-0.6, 1.166666667}
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