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Simplifying 7n2 + 29n + 4 = 0 Reorder the terms: 4 + 29n + 7n2 = 0 Solving 4 + 29n + 7n2 = 0 Solving for variable 'n'. Factor a trinomial. (4 + n)(1 + 7n) = 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 '(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 = {-4, -0.1428571429}
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