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Simplifying 7n2 + 27n + -4 = 0 Reorder the terms: -4 + 27n + 7n2 = 0 Solving -4 + 27n + 7n2 = 0 Solving for variable 'n'. Factor a trinomial. (-4 + -1n)(1 + -7n) = 0Subproblem 1
Set the factor '(-4 + -1n)' equal to zero and attempt to solve: Simplifying -4 + -1n = 0 Solving -4 + -1n = 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 + -1n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1n = 0 + 4 -1n = 0 + 4 Combine like terms: 0 + 4 = 4 -1n = 4 Divide each side by '-1'. 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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