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Simplifying 4n2 + 6n + -550 = 0 Reorder the terms: -550 + 6n + 4n2 = 0 Solving -550 + 6n + 4n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(-275 + 3n + 2n2) = 0 Factor a trinomial. 2((-25 + -2n)(11 + -1n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-25 + -2n)' equal to zero and attempt to solve: Simplifying -25 + -2n = 0 Solving -25 + -2n = 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 + -2n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -2n = 0 + 25 -2n = 0 + 25 Combine like terms: 0 + 25 = 25 -2n = 25 Divide each side by '-2'. n = -12.5 Simplifying n = -12.5Subproblem 2
Set the factor '(11 + -1n)' equal to zero and attempt to solve: Simplifying 11 + -1n = 0 Solving 11 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1n = 0 + -11 -1n = 0 + -11 Combine like terms: 0 + -11 = -11 -1n = -11 Divide each side by '-1'. n = 11 Simplifying n = 11Solution
n = {-12.5, 11}
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