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Simplifying -6m2q + -5mq + 25q = 0 Reorder the terms: -5mq + -6m2q + 25q = 0 Solving -5mq + -6m2q + 25q = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'q'. q(-5m + -6m2 + 25) = 0 Factor a trinomial. q((-2m + -5)(3m + -5)) = 0Subproblem 1
Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing m to the left, all other terms to the right. Add '-1q' to each side of the equation. q + -1q = 0 + -1q Remove the zero: 0 = -1q Simplifying 0 = -1q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2m + -5)' equal to zero and attempt to solve: Simplifying -2m + -5 = 0 Reorder the terms: -5 + -2m = 0 Solving -5 + -2m = 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 + -2m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2m = 0 + 5 -2m = 0 + 5 Combine like terms: 0 + 5 = 5 -2m = 5 Divide each side by '-2'. m = -2.5 Simplifying m = -2.5Subproblem 3
Set the factor '(3m + -5)' equal to zero and attempt to solve: Simplifying 3m + -5 = 0 Reorder the terms: -5 + 3m = 0 Solving -5 + 3m = 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 + 3m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3m = 0 + 5 3m = 0 + 5 Combine like terms: 0 + 5 = 5 3m = 5 Divide each side by '3'. m = 1.666666667 Simplifying m = 1.666666667Solution
m = {-2.5, 1.666666667}
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