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Simplifying 14n2 + 75n + -11 = 0 Reorder the terms: -11 + 75n + 14n2 = 0 Solving -11 + 75n + 14n2 = 0 Solving for variable 'n'. Factor a trinomial. (-11 + -2n)(1 + -7n) = 0Subproblem 1
Set the factor '(-11 + -2n)' equal to zero and attempt to solve: Simplifying -11 + -2n = 0 Solving -11 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2n = 0 + 11 -2n = 0 + 11 Combine like terms: 0 + 11 = 11 -2n = 11 Divide each side by '-2'. n = -5.5 Simplifying n = -5.5Subproblem 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 = {-5.5, 0.1428571429}
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