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Simplifying 7n2 + -8n = 12 Reorder the terms: -8n + 7n2 = 12 Solving -8n + 7n2 = 12 Solving for variable 'n'. Reorder the terms: -12 + -8n + 7n2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -8n + 7n2 = 0 Factor a trinomial. (-6 + -7n)(2 + -1n) = 0Subproblem 1
Set the factor '(-6 + -7n)' equal to zero and attempt to solve: Simplifying -6 + -7n = 0 Solving -6 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7n = 0 + 6 -7n = 0 + 6 Combine like terms: 0 + 6 = 6 -7n = 6 Divide each side by '-7'. n = -0.8571428571 Simplifying n = -0.8571428571Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Solution
n = {-0.8571428571, 2}
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