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Simplifying m = -10m2 + 21 Reorder the terms: m = 21 + -10m2 Solving m = 21 + -10m2 Solving for variable 'm'. Reorder the terms: -21 + m + 10m2 = 21 + -10m2 + -21 + 10m2 Reorder the terms: -21 + m + 10m2 = 21 + -21 + -10m2 + 10m2 Combine like terms: 21 + -21 = 0 -21 + m + 10m2 = 0 + -10m2 + 10m2 -21 + m + 10m2 = -10m2 + 10m2 Combine like terms: -10m2 + 10m2 = 0 -21 + m + 10m2 = 0 Factor a trinomial. (-3 + -2m)(7 + -5m) = 0Subproblem 1
Set the factor '(-3 + -2m)' equal to zero and attempt to solve: Simplifying -3 + -2m = 0 Solving -3 + -2m = 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 + -2m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2m = 0 + 3 -2m = 0 + 3 Combine like terms: 0 + 3 = 3 -2m = 3 Divide each side by '-2'. m = -1.5 Simplifying m = -1.5Subproblem 2
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 = 1.4Solution
m = {-1.5, 1.4}
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