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Simplifying -1n2 + -1 = -8n2 + 6n Reorder the terms: -1 + -1n2 = -8n2 + 6n Reorder the terms: -1 + -1n2 = 6n + -8n2 Solving -1 + -1n2 = 6n + -8n2 Solving for variable 'n'. Reorder the terms: -1 + -6n + -1n2 + 8n2 = 6n + -8n2 + -6n + 8n2 Combine like terms: -1n2 + 8n2 = 7n2 -1 + -6n + 7n2 = 6n + -8n2 + -6n + 8n2 Reorder the terms: -1 + -6n + 7n2 = 6n + -6n + -8n2 + 8n2 Combine like terms: 6n + -6n = 0 -1 + -6n + 7n2 = 0 + -8n2 + 8n2 -1 + -6n + 7n2 = -8n2 + 8n2 Combine like terms: -8n2 + 8n2 = 0 -1 + -6n + 7n2 = 0 Factor a trinomial. (-1 + -7n)(1 + -1n) = 0Subproblem 1
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 = -0.1428571429Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 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 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {-0.1428571429, 1}
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