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Simplifying 4n2 + 6n + -2650 = 0 Reorder the terms: -2650 + 6n + 4n2 = 0 Solving -2650 + 6n + 4n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1325 + 3n + 2n2) = 0 Factor a trinomial. 2((-53 + -2n)(25 + -1n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-53 + -2n)' equal to zero and attempt to solve: Simplifying -53 + -2n = 0 Solving -53 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + -2n = 0 + 53 Combine like terms: -53 + 53 = 0 0 + -2n = 0 + 53 -2n = 0 + 53 Combine like terms: 0 + 53 = 53 -2n = 53 Divide each side by '-2'. n = -26.5 Simplifying n = -26.5Subproblem 2
Set the factor '(25 + -1n)' equal to zero and attempt to solve: Simplifying 25 + -1n = 0 Solving 25 + -1n = 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 + -1n = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1n = 0 + -25 -1n = 0 + -25 Combine like terms: 0 + -25 = -25 -1n = -25 Divide each side by '-1'. n = 25 Simplifying n = 25Solution
n = {-26.5, 25}
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