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Simplifying 7m2 + -11m + 4 = 0 Reorder the terms: 4 + -11m + 7m2 = 0 Solving 4 + -11m + 7m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + -7m)(1 + -1m) = 0Subproblem 1
Set the factor '(4 + -7m)' equal to zero and attempt to solve: Simplifying 4 + -7m = 0 Solving 4 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7m = 0 + -4 -7m = 0 + -4 Combine like terms: 0 + -4 = -4 -7m = -4 Divide each side by '-7'. m = 0.5714285714 Simplifying m = 0.5714285714Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {0.5714285714, 1}
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