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Simplifying 9n2 + 67n + 28 = 0 Reorder the terms: 28 + 67n + 9n2 = 0 Solving 28 + 67n + 9n2 = 0 Solving for variable 'n'. Factor a trinomial. (7 + n)(4 + 9n) = 0Subproblem 1
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 = -7Subproblem 2
Set the factor '(4 + 9n)' equal to zero and attempt to solve: Simplifying 4 + 9n = 0 Solving 4 + 9n = 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 + 9n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9n = 0 + -4 9n = 0 + -4 Combine like terms: 0 + -4 = -4 9n = -4 Divide each side by '9'. n = -0.4444444444 Simplifying n = -0.4444444444Solution
n = {-7, -0.4444444444}
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