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Simplifying 56m2 + -320m + 197 = -3 Reorder the terms: 197 + -320m + 56m2 = -3 Solving 197 + -320m + 56m2 = -3 Solving for variable 'm'. Reorder the terms: 197 + 3 + -320m + 56m2 = -3 + 3 Combine like terms: 197 + 3 = 200 200 + -320m + 56m2 = -3 + 3 Combine like terms: -3 + 3 = 0 200 + -320m + 56m2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(25 + -40m + 7m2) = 0 Factor a trinomial. 8((5 + -7m)(5 + -1m)) = 0 Ignore the factor 8.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 '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 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 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {0.7142857143, 5}
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