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Simplifying 40m2q + mq + -6q = 0 Reorder the terms: mq + 40m2q + -6q = 0 Solving mq + 40m2q + -6q = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'q'. q(m + 40m2 + -6) = 0 Factor a trinomial. q((8m + -3)(5m + 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 '(8m + -3)' equal to zero and attempt to solve: Simplifying 8m + -3 = 0 Reorder the terms: -3 + 8m = 0 Solving -3 + 8m = 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 + 8m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8m = 0 + 3 8m = 0 + 3 Combine like terms: 0 + 3 = 3 8m = 3 Divide each side by '8'. m = 0.375 Simplifying m = 0.375Subproblem 3
Set the factor '(5m + 2)' equal to zero and attempt to solve: Simplifying 5m + 2 = 0 Reorder the terms: 2 + 5m = 0 Solving 2 + 5m = 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 + 5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5m = 0 + -2 5m = 0 + -2 Combine like terms: 0 + -2 = -2 5m = -2 Divide each side by '5'. m = -0.4 Simplifying m = -0.4Solution
m = {0.375, -0.4}
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