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Simplifying 5n2 = -22n + -8 Reorder the terms: 5n2 = -8 + -22n Solving 5n2 = -8 + -22n Solving for variable 'n'. Reorder the terms: 8 + 22n + 5n2 = -8 + -22n + 8 + 22n Reorder the terms: 8 + 22n + 5n2 = -8 + 8 + -22n + 22n Combine like terms: -8 + 8 = 0 8 + 22n + 5n2 = 0 + -22n + 22n 8 + 22n + 5n2 = -22n + 22n Combine like terms: -22n + 22n = 0 8 + 22n + 5n2 = 0 Factor a trinomial. (4 + n)(2 + 5n) = 0Subproblem 1
Set the factor '(4 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Simplifying n = -4Subproblem 2
Set the factor '(2 + 5n)' equal to zero and attempt to solve: Simplifying 2 + 5n = 0 Solving 2 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5n = 0 + -2 5n = 0 + -2 Combine like terms: 0 + -2 = -2 5n = -2 Divide each side by '5'. n = -0.4 Simplifying n = -0.4Solution
n = {-4, -0.4}
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