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Simplifying -35m2q + -4mq + 4q = 0 Reorder the terms: -4mq + -35m2q + 4q = 0 Solving -4mq + -35m2q + 4q = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'q'. q(-4m + -35m2 + 4) = 0 Factor a trinomial. q((-5m + -2)(7m + -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 '(-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 = -0.4Subproblem 3
Set the factor '(7m + -2)' equal to zero and attempt to solve: Simplifying 7m + -2 = 0 Reorder the terms: -2 + 7m = 0 Solving -2 + 7m = 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 + 7m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7m = 0 + 2 7m = 0 + 2 Combine like terms: 0 + 2 = 2 7m = 2 Divide each side by '7'. m = 0.2857142857 Simplifying m = 0.2857142857Solution
m = {-0.4, 0.2857142857}
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