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Simplifying 7n2 + 5n + -16 = -4 Reorder the terms: -16 + 5n + 7n2 = -4 Solving -16 + 5n + 7n2 = -4 Solving for variable 'n'. Reorder the terms: -16 + 4 + 5n + 7n2 = -4 + 4 Combine like terms: -16 + 4 = -12 -12 + 5n + 7n2 = -4 + 4 Combine like terms: -4 + 4 = 0 -12 + 5n + 7n2 = 0 Factor a trinomial. (-12 + -7n)(1 + -1n) = 0Subproblem 1
Set the factor '(-12 + -7n)' equal to zero and attempt to solve: Simplifying -12 + -7n = 0 Solving -12 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -7n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -7n = 0 + 12 -7n = 0 + 12 Combine like terms: 0 + 12 = 12 -7n = 12 Divide each side by '-7'. n = -1.714285714 Simplifying n = -1.714285714Subproblem 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 = {-1.714285714, 1}
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