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Simplifying -2n2 + 52n + -50 = 0 Reorder the terms: -50 + 52n + -2n2 = 0 Solving -50 + 52n + -2n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(-25 + 26n + -1n2) = 0 Factor a trinomial. 2((-25 + n)(1 + -1n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-25 + n)' equal to zero and attempt to solve: Simplifying -25 + n = 0 Solving -25 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + n = 0 + 25 n = 0 + 25 Combine like terms: 0 + 25 = 25 n = 25 Simplifying n = 25Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {25, 1}
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