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Simplifying m2 + 2m + -575 = 0 Reorder the terms: -575 + 2m + m2 = 0 Solving -575 + 2m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-25 + -1m)(23 + -1m) = 0Subproblem 1
Set the factor '(-25 + -1m)' equal to zero and attempt to solve: Simplifying -25 + -1m = 0 Solving -25 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1m = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1m = 0 + 25 -1m = 0 + 25 Combine like terms: 0 + 25 = 25 -1m = 25 Divide each side by '-1'. m = -25 Simplifying m = -25Subproblem 2
Set the factor '(23 + -1m)' equal to zero and attempt to solve: Simplifying 23 + -1m = 0 Solving 23 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1m = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1m = 0 + -23 -1m = 0 + -23 Combine like terms: 0 + -23 = -23 -1m = -23 Divide each side by '-1'. m = 23 Simplifying m = 23Solution
m = {-25, 23}
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