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Simplifying 5m2 + -23m + -35 = 7 Reorder the terms: -35 + -23m + 5m2 = 7 Solving -35 + -23m + 5m2 = 7 Solving for variable 'm'. Reorder the terms: -35 + -7 + -23m + 5m2 = 7 + -7 Combine like terms: -35 + -7 = -42 -42 + -23m + 5m2 = 7 + -7 Combine like terms: 7 + -7 = 0 -42 + -23m + 5m2 = 0 Factor a trinomial. (-7 + -5m)(6 + -1m) = 0Subproblem 1
Set the factor '(-7 + -5m)' equal to zero and attempt to solve: Simplifying -7 + -5m = 0 Solving -7 + -5m = 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 + -5m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5m = 0 + 7 -5m = 0 + 7 Combine like terms: 0 + 7 = 7 -5m = 7 Divide each side by '-5'. m = -1.4 Simplifying m = -1.4Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {-1.4, 6}
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