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Simplifying -12m2q + -7mq + 10q = 0 Reorder the terms: -7mq + -12m2q + 10q = 0 Solving -7mq + -12m2q + 10q = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'q'. q(-7m + -12m2 + 10) = 0 Factor a trinomial. q((-4m + -5)(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 '(-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 = -1.25Subproblem 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 = {-1.25, 0.6666666667}
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