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Simplifying m2 + -28m + 196 = 0 Reorder the terms: 196 + -28m + m2 = 0 Solving 196 + -28m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (14 + -1m)(14 + -1m) = 0Subproblem 1
Set the factor '(14 + -1m)' equal to zero and attempt to solve: Simplifying 14 + -1m = 0 Solving 14 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1m = 0 + -14 -1m = 0 + -14 Combine like terms: 0 + -14 = -14 -1m = -14 Divide each side by '-1'. m = 14 Simplifying m = 14Subproblem 2
Set the factor '(14 + -1m)' equal to zero and attempt to solve: Simplifying 14 + -1m = 0 Solving 14 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1m = 0 + -14 -1m = 0 + -14 Combine like terms: 0 + -14 = -14 -1m = -14 Divide each side by '-1'. m = 14 Simplifying m = 14Solution
m = {14, 14}
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