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Simplifying (2n + -7)(2n + -7) = 0 Reorder the terms: (-7 + 2n)(2n + -7) = 0 Reorder the terms: (-7 + 2n)(-7 + 2n) = 0 Multiply (-7 + 2n) * (-7 + 2n) (-7(-7 + 2n) + 2n * (-7 + 2n)) = 0 ((-7 * -7 + 2n * -7) + 2n * (-7 + 2n)) = 0 ((49 + -14n) + 2n * (-7 + 2n)) = 0 (49 + -14n + (-7 * 2n + 2n * 2n)) = 0 (49 + -14n + (-14n + 4n2)) = 0 Combine like terms: -14n + -14n = -28n (49 + -28n + 4n2) = 0 Solving 49 + -28n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (7 + -2n)(7 + -2n) = 0Subproblem 1
Set the factor '(7 + -2n)' equal to zero and attempt to solve: Simplifying 7 + -2n = 0 Solving 7 + -2n = 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 + -2n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = 0 + -7 -2n = 0 + -7 Combine like terms: 0 + -7 = -7 -2n = -7 Divide each side by '-2'. n = 3.5 Simplifying n = 3.5Subproblem 2
Set the factor '(7 + -2n)' equal to zero and attempt to solve: Simplifying 7 + -2n = 0 Solving 7 + -2n = 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 + -2n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = 0 + -7 -2n = 0 + -7 Combine like terms: 0 + -7 = -7 -2n = -7 Divide each side by '-2'. n = 3.5 Simplifying n = 3.5Solution
n = {3.5, 3.5}
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