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Simplifying -24m2q + -2mq + 15q = 0 Reorder the terms: -2mq + -24m2q + 15q = 0 Solving -2mq + -24m2q + 15q = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'q'. q(-2m + -24m2 + 15) = 0 Factor a trinomial. q((-6m + -5)(4m + -3)) = 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 '(-6m + -5)' equal to zero and attempt to solve: Simplifying -6m + -5 = 0 Reorder the terms: -5 + -6m = 0 Solving -5 + -6m = 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 + -6m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6m = 0 + 5 -6m = 0 + 5 Combine like terms: 0 + 5 = 5 -6m = 5 Divide each side by '-6'. m = -0.8333333333 Simplifying m = -0.8333333333Subproblem 3
Set the factor '(4m + -3)' equal to zero and attempt to solve: Simplifying 4m + -3 = 0 Reorder the terms: -3 + 4m = 0 Solving -3 + 4m = 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 + 4m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4m = 0 + 3 4m = 0 + 3 Combine like terms: 0 + 3 = 3 4m = 3 Divide each side by '4'. m = 0.75 Simplifying m = 0.75Solution
m = {-0.8333333333, 0.75}
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