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Simplifying 7n2 = -22n + -3 Reorder the terms: 7n2 = -3 + -22n Solving 7n2 = -3 + -22n Solving for variable 'n'. Reorder the terms: 3 + 22n + 7n2 = -3 + -22n + 3 + 22n Reorder the terms: 3 + 22n + 7n2 = -3 + 3 + -22n + 22n Combine like terms: -3 + 3 = 0 3 + 22n + 7n2 = 0 + -22n + 22n 3 + 22n + 7n2 = -22n + 22n Combine like terms: -22n + 22n = 0 3 + 22n + 7n2 = 0 Factor a trinomial. (3 + n)(1 + 7n) = 0Subproblem 1
Set the factor '(3 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Subproblem 2
Set the factor '(1 + 7n)' equal to zero and attempt to solve: Simplifying 1 + 7n = 0 Solving 1 + 7n = 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 + 7n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7n = 0 + -1 7n = 0 + -1 Combine like terms: 0 + -1 = -1 7n = -1 Divide each side by '7'. n = -0.1428571429 Simplifying n = -0.1428571429Solution
n = {-3, -0.1428571429}
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