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Simplifying 49m2 = 21m + 18 Reorder the terms: 49m2 = 18 + 21m Solving 49m2 = 18 + 21m Solving for variable 'm'. Reorder the terms: -18 + -21m + 49m2 = 18 + 21m + -18 + -21m Reorder the terms: -18 + -21m + 49m2 = 18 + -18 + 21m + -21m Combine like terms: 18 + -18 = 0 -18 + -21m + 49m2 = 0 + 21m + -21m -18 + -21m + 49m2 = 21m + -21m Combine like terms: 21m + -21m = 0 -18 + -21m + 49m2 = 0 Factor a trinomial. (-3 + -7m)(6 + -7m) = 0Subproblem 1
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 = -0.4285714286Subproblem 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 = {-0.4285714286, 0.8571428571}
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