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Simplifying 4n2 + n + -12 = 2 Reorder the terms: -12 + n + 4n2 = 2 Solving -12 + n + 4n2 = 2 Solving for variable 'n'. Reorder the terms: -12 + -2 + n + 4n2 = 2 + -2 Combine like terms: -12 + -2 = -14 -14 + n + 4n2 = 2 + -2 Combine like terms: 2 + -2 = 0 -14 + n + 4n2 = 0 Factor a trinomial. (-2 + -1n)(7 + -4n) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(7 + -4n)' equal to zero and attempt to solve: Simplifying 7 + -4n = 0 Solving 7 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4n = 0 + -7 -4n = 0 + -7 Combine like terms: 0 + -7 = -7 -4n = -7 Divide each side by '-4'. n = 1.75 Simplifying n = 1.75Solution
n = {-2, 1.75}
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