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Simplifying -8m2q + -2mq + 15q = 0 Reorder the terms: -2mq + -8m2q + 15q = 0 Solving -2mq + -8m2q + 15q = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'q'. q(-2m + -8m2 + 15) = 0 Factor a trinomial. q((-2m + -3)(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 '(-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 '(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 = {-1.5, 1.25}
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