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Simplifying 10m2 + 9m + -7 = 0 Reorder the terms: -7 + 9m + 10m2 = 0 Solving -7 + 9m + 10m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -5m)(1 + -2m) = 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 '(1 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 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 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5Solution
m = {-1.4, 0.5}
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