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Simplifying -12m2q + -5mq + 25q = 0 Reorder the terms: -5mq + -12m2q + 25q = 0 Solving -5mq + -12m2q + 25q = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'q'. q(-5m + -12m2 + 25) = 0 Factor a trinomial. q((-3m + -5)(4m + -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 '(-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 = -1.666666667Subproblem 3
Set the factor '(4m + -5)' equal to zero and attempt to solve: Simplifying 4m + -5 = 0 Reorder the terms: -5 + 4m = 0 Solving -5 + 4m = 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 + 4m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4m = 0 + 5 4m = 0 + 5 Combine like terms: 0 + 5 = 5 4m = 5 Divide each side by '4'. m = 1.25 Simplifying m = 1.25Solution
m = {-1.666666667, 1.25}
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