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Simplifying 2n2 + 3n + -7 = 2 Reorder the terms: -7 + 3n + 2n2 = 2 Solving -7 + 3n + 2n2 = 2 Solving for variable 'n'. Reorder the terms: -7 + -2 + 3n + 2n2 = 2 + -2 Combine like terms: -7 + -2 = -9 -9 + 3n + 2n2 = 2 + -2 Combine like terms: 2 + -2 = 0 -9 + 3n + 2n2 = 0 Factor a trinomial. (-3 + -1n)(3 + -2n) = 0Subproblem 1
Set the factor '(-3 + -1n)' equal to zero and attempt to solve: Simplifying -3 + -1n = 0 Solving -3 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1n = 0 + 3 -1n = 0 + 3 Combine like terms: 0 + 3 = 3 -1n = 3 Divide each side by '-1'. n = -3 Simplifying n = -3Subproblem 2
Set the factor '(3 + -2n)' equal to zero and attempt to solve: Simplifying 3 + -2n = 0 Solving 3 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2n = 0 + -3 -2n = 0 + -3 Combine like terms: 0 + -3 = -3 -2n = -3 Divide each side by '-2'. n = 1.5 Simplifying n = 1.5Solution
n = {-3, 1.5}
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