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Simplifying m2 + -23m + -10 = -4m2 Reorder the terms: -10 + -23m + m2 = -4m2 Solving -10 + -23m + m2 = -4m2 Solving for variable 'm'. Combine like terms: m2 + 4m2 = 5m2 -10 + -23m + 5m2 = -4m2 + 4m2 Combine like terms: -4m2 + 4m2 = 0 -10 + -23m + 5m2 = 0 Factor a trinomial. (-2 + -5m)(5 + -1m) = 0Subproblem 1
Set the factor '(-2 + -5m)' equal to zero and attempt to solve: Simplifying -2 + -5m = 0 Solving -2 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5m = 0 + 2 -5m = 0 + 2 Combine like terms: 0 + 2 = 2 -5m = 2 Divide each side by '-5'. m = -0.4 Simplifying m = -0.4Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {-0.4, 5}
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