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Simplifying 49m2 + -140m + 100 = 0 Reorder the terms: 100 + -140m + 49m2 = 0 Solving 100 + -140m + 49m2 = 0 Solving for variable 'm'. Factor a trinomial. (10 + -7m)(10 + -7m) = 0Subproblem 1
Set the factor '(10 + -7m)' equal to zero and attempt to solve: Simplifying 10 + -7m = 0 Solving 10 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7m = 0 + -10 -7m = 0 + -10 Combine like terms: 0 + -10 = -10 -7m = -10 Divide each side by '-7'. m = 1.428571429 Simplifying m = 1.428571429Subproblem 2
Set the factor '(10 + -7m)' equal to zero and attempt to solve: Simplifying 10 + -7m = 0 Solving 10 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7m = 0 + -10 -7m = 0 + -10 Combine like terms: 0 + -10 = -10 -7m = -10 Divide each side by '-7'. m = 1.428571429 Simplifying m = 1.428571429Solution
m = {1.428571429, 1.428571429}
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