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Simplifying 5m2 + -175 = -10m Reorder the terms: -175 + 5m2 = -10m Solving -175 + 5m2 = -10m Solving for variable 'm'. Reorder the terms: -175 + 10m + 5m2 = -10m + 10m Combine like terms: -10m + 10m = 0 -175 + 10m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-35 + 2m + m2) = 0 Factor a trinomial. 5((-7 + -1m)(5 + -1m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-7 + -1m)' equal to zero and attempt to solve: Simplifying -7 + -1m = 0 Solving -7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1m = 0 + 7 -1m = 0 + 7 Combine like terms: 0 + 7 = 7 -1m = 7 Divide each side by '-1'. m = -7 Simplifying m = -7Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {-7, 5}
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