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Simplifying -6m2q + -5mq + 6q = 0 Reorder the terms: -5mq + -6m2q + 6q = 0 Solving -5mq + -6m2q + 6q = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'q'. q(-5m + -6m2 + 6) = 0 Factor a trinomial. q((-2m + -3)(3m + -2)) = 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 + -3)' equal to zero and attempt to solve: Simplifying -2m + -3 = 0 Reorder the terms: -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 3
Set the factor '(3m + -2)' equal to zero and attempt to solve: Simplifying 3m + -2 = 0 Reorder the terms: -2 + 3m = 0 Solving -2 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3m = 0 + 2 3m = 0 + 2 Combine like terms: 0 + 2 = 2 3m = 2 Divide each side by '3'. m = 0.6666666667 Simplifying m = 0.6666666667Solution
m = {-1.5, 0.6666666667}
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