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Simplifying 7n2 + -36n + 24 = -8 Reorder the terms: 24 + -36n + 7n2 = -8 Solving 24 + -36n + 7n2 = -8 Solving for variable 'n'. Reorder the terms: 24 + 8 + -36n + 7n2 = -8 + 8 Combine like terms: 24 + 8 = 32 32 + -36n + 7n2 = -8 + 8 Combine like terms: -8 + 8 = 0 32 + -36n + 7n2 = 0 Factor a trinomial. (8 + -7n)(4 + -1n) = 0Subproblem 1
Set the factor '(8 + -7n)' equal to zero and attempt to solve: Simplifying 8 + -7n = 0 Solving 8 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7n = 0 + -8 -7n = 0 + -8 Combine like terms: 0 + -8 = -8 -7n = -8 Divide each side by '-7'. n = 1.142857143 Simplifying n = 1.142857143Subproblem 2
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 = 4Solution
n = {1.142857143, 4}
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