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Simplifying (2n + -5)(2n + -5) = 0 Reorder the terms: (-5 + 2n)(2n + -5) = 0 Reorder the terms: (-5 + 2n)(-5 + 2n) = 0 Multiply (-5 + 2n) * (-5 + 2n) (-5(-5 + 2n) + 2n * (-5 + 2n)) = 0 ((-5 * -5 + 2n * -5) + 2n * (-5 + 2n)) = 0 ((25 + -10n) + 2n * (-5 + 2n)) = 0 (25 + -10n + (-5 * 2n + 2n * 2n)) = 0 (25 + -10n + (-10n + 4n2)) = 0 Combine like terms: -10n + -10n = -20n (25 + -20n + 4n2) = 0 Solving 25 + -20n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (5 + -2n)(5 + -2n) = 0Subproblem 1
Set the factor '(5 + -2n)' equal to zero and attempt to solve: Simplifying 5 + -2n = 0 Solving 5 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 0 + -5 -2n = 0 + -5 Combine like terms: 0 + -5 = -5 -2n = -5 Divide each side by '-2'. n = 2.5 Simplifying n = 2.5Subproblem 2
Set the factor '(5 + -2n)' equal to zero and attempt to solve: Simplifying 5 + -2n = 0 Solving 5 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 0 + -5 -2n = 0 + -5 Combine like terms: 0 + -5 = -5 -2n = -5 Divide each side by '-2'. n = 2.5 Simplifying n = 2.5Solution
n = {2.5, 2.5}
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