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Simplifying 200m2 + -110m + -21 = 0 Reorder the terms: -21 + -110m + 200m2 = 0 Solving -21 + -110m + 200m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -20m)(7 + -10m) = 0Subproblem 1
Set the factor '(-3 + -20m)' equal to zero and attempt to solve: Simplifying -3 + -20m = 0 Solving -3 + -20m = 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 + -20m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -20m = 0 + 3 -20m = 0 + 3 Combine like terms: 0 + 3 = 3 -20m = 3 Divide each side by '-20'. m = -0.15 Simplifying m = -0.15Subproblem 2
Set the factor '(7 + -10m)' equal to zero and attempt to solve: Simplifying 7 + -10m = 0 Solving 7 + -10m = 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 + -10m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10m = 0 + -7 -10m = 0 + -7 Combine like terms: 0 + -7 = -7 -10m = -7 Divide each side by '-10'. m = 0.7 Simplifying m = 0.7Solution
m = {-0.15, 0.7}
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