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Simplifying 22n2 + 45n + 2 = 0 Reorder the terms: 2 + 45n + 22n2 = 0 Solving 2 + 45n + 22n2 = 0 Solving for variable 'n'. Factor a trinomial. (2 + n)(1 + 22n) = 0Subproblem 1
Set the factor '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 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 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2Subproblem 2
Set the factor '(1 + 22n)' equal to zero and attempt to solve: Simplifying 1 + 22n = 0 Solving 1 + 22n = 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 + 22n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 22n = 0 + -1 22n = 0 + -1 Combine like terms: 0 + -1 = -1 22n = -1 Divide each side by '22'. n = -0.04545454545 Simplifying n = -0.04545454545Solution
n = {-2, -0.04545454545}
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