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Simplifying (-3n + 2)(n + 7) = 0 Reorder the terms: (2 + -3n)(n + 7) = 0 Reorder the terms: (2 + -3n)(7 + n) = 0 Multiply (2 + -3n) * (7 + n) (2(7 + n) + -3n * (7 + n)) = 0 ((7 * 2 + n * 2) + -3n * (7 + n)) = 0 ((14 + 2n) + -3n * (7 + n)) = 0 (14 + 2n + (7 * -3n + n * -3n)) = 0 (14 + 2n + (-21n + -3n2)) = 0 Combine like terms: 2n + -21n = -19n (14 + -19n + -3n2) = 0 Solving 14 + -19n + -3n2 = 0 Solving for variable 'n'. Factor a trinomial. (2 + -3n)(7 + n) = 0Subproblem 1
Set the factor '(2 + -3n)' equal to zero and attempt to solve: Simplifying 2 + -3n = 0 Solving 2 + -3n = 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 + -3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = 0 + -2 -3n = 0 + -2 Combine like terms: 0 + -2 = -2 -3n = -2 Divide each side by '-3'. n = 0.6666666667 Simplifying n = 0.6666666667Subproblem 2
Set the factor '(7 + n)' equal to zero and attempt to solve: Simplifying 7 + n = 0 Solving 7 + n = 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 + n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + n = 0 + -7 n = 0 + -7 Combine like terms: 0 + -7 = -7 n = -7 Simplifying n = -7Solution
n = {0.6666666667, -7}
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