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Simplifying (9n + -4)(9n + -4) = 0 Reorder the terms: (-4 + 9n)(9n + -4) = 0 Reorder the terms: (-4 + 9n)(-4 + 9n) = 0 Multiply (-4 + 9n) * (-4 + 9n) (-4(-4 + 9n) + 9n * (-4 + 9n)) = 0 ((-4 * -4 + 9n * -4) + 9n * (-4 + 9n)) = 0 ((16 + -36n) + 9n * (-4 + 9n)) = 0 (16 + -36n + (-4 * 9n + 9n * 9n)) = 0 (16 + -36n + (-36n + 81n2)) = 0 Combine like terms: -36n + -36n = -72n (16 + -72n + 81n2) = 0 Solving 16 + -72n + 81n2 = 0 Solving for variable 'n'. Factor a trinomial. (4 + -9n)(4 + -9n) = 0Subproblem 1
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 = 0.4444444444Subproblem 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 = {0.4444444444, 0.4444444444}
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