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Simplifying 35m2 + 64m + 21 = 0 Reorder the terms: 21 + 64m + 35m2 = 0 Solving 21 + 64m + 35m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + 5m)(3 + 7m) = 0Subproblem 1
Set the factor '(7 + 5m)' equal to zero and attempt to solve: Simplifying 7 + 5m = 0 Solving 7 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5m = 0 + -7 5m = 0 + -7 Combine like terms: 0 + -7 = -7 5m = -7 Divide each side by '5'. m = -1.4 Simplifying m = -1.4Subproblem 2
Set the factor '(3 + 7m)' equal to zero and attempt to solve: Simplifying 3 + 7m = 0 Solving 3 + 7m = 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 + 7m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7m = 0 + -3 7m = 0 + -3 Combine like terms: 0 + -3 = -3 7m = -3 Divide each side by '7'. m = -0.4285714286 Simplifying m = -0.4285714286Solution
m = {-1.4, -0.4285714286}
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