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Simplifying -20m2q + -3mq + 9q = 0 Reorder the terms: -3mq + -20m2q + 9q = 0 Solving -3mq + -20m2q + 9q = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'q'. q(-3m + -20m2 + 9) = 0 Factor a trinomial. q((-4m + -3)(5m + -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 '(-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 = -0.75Subproblem 3
Set the factor '(5m + -3)' equal to zero and attempt to solve: Simplifying 5m + -3 = 0 Reorder the terms: -3 + 5m = 0 Solving -3 + 5m = 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 + 5m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5m = 0 + 3 5m = 0 + 3 Combine like terms: 0 + 3 = 3 5m = 3 Divide each side by '5'. m = 0.6 Simplifying m = 0.6Solution
m = {-0.75, 0.6}
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