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Simplifying 49m2 = 14m + 24 Reorder the terms: 49m2 = 24 + 14m Solving 49m2 = 24 + 14m Solving for variable 'm'. Reorder the terms: -24 + -14m + 49m2 = 24 + 14m + -24 + -14m Reorder the terms: -24 + -14m + 49m2 = 24 + -24 + 14m + -14m Combine like terms: 24 + -24 = 0 -24 + -14m + 49m2 = 0 + 14m + -14m -24 + -14m + 49m2 = 14m + -14m Combine like terms: 14m + -14m = 0 -24 + -14m + 49m2 = 0 Factor a trinomial. (-4 + -7m)(6 + -7m) = 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 '(6 + -7m)' equal to zero and attempt to solve: Simplifying 6 + -7m = 0 Solving 6 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7m = 0 + -6 -7m = 0 + -6 Combine like terms: 0 + -6 = -6 -7m = -6 Divide each side by '-7'. m = 0.8571428571 Simplifying m = 0.8571428571Solution
m = {-0.5714285714, 0.8571428571}
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