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Simplifying 35m2 = 64 + 16m Solving 35m2 = 64 + 16m Solving for variable 'm'. Reorder the terms: -64 + -16m + 35m2 = 64 + 16m + -64 + -16m Reorder the terms: -64 + -16m + 35m2 = 64 + -64 + 16m + -16m Combine like terms: 64 + -64 = 0 -64 + -16m + 35m2 = 0 + 16m + -16m -64 + -16m + 35m2 = 16m + -16m Combine like terms: 16m + -16m = 0 -64 + -16m + 35m2 = 0 Factor a trinomial. (-8 + -7m)(8 + -5m) = 0Subproblem 1
Set the factor '(-8 + -7m)' equal to zero and attempt to solve: Simplifying -8 + -7m = 0 Solving -8 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7m = 0 + 8 -7m = 0 + 8 Combine like terms: 0 + 8 = 8 -7m = 8 Divide each side by '-7'. m = -1.142857143 Simplifying m = -1.142857143Subproblem 2
Set the factor '(8 + -5m)' equal to zero and attempt to solve: Simplifying 8 + -5m = 0 Solving 8 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5m = 0 + -8 -5m = 0 + -8 Combine like terms: 0 + -8 = -8 -5m = -8 Divide each side by '-5'. m = 1.6 Simplifying m = 1.6Solution
m = {-1.142857143, 1.6}
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