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Simplifying 210m2 + 276m + 92 = 2 Reorder the terms: 92 + 276m + 210m2 = 2 Solving 92 + 276m + 210m2 = 2 Solving for variable 'm'. Reorder the terms: 92 + -2 + 276m + 210m2 = 2 + -2 Combine like terms: 92 + -2 = 90 90 + 276m + 210m2 = 2 + -2 Combine like terms: 2 + -2 = 0 90 + 276m + 210m2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(15 + 46m + 35m2) = 0 Factor a trinomial. 6((5 + 7m)(3 + 5m)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(5 + 7m)' equal to zero and attempt to solve: Simplifying 5 + 7m = 0 Solving 5 + 7m = 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 + 7m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7m = 0 + -5 7m = 0 + -5 Combine like terms: 0 + -5 = -5 7m = -5 Divide each side by '7'. m = -0.7142857143 Simplifying m = -0.7142857143Subproblem 2
Set the factor '(3 + 5m)' equal to zero and attempt to solve: Simplifying 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 = {-0.7142857143, -0.6}
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