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Simplifying n(14 + 3n) = 304 (14 * n + 3n * n) = 304 (14n + 3n2) = 304 Solving 14n + 3n2 = 304 Solving for variable 'n'. Reorder the terms: -304 + 14n + 3n2 = 304 + -304 Combine like terms: 304 + -304 = 0 -304 + 14n + 3n2 = 0 Factor a trinomial. (-38 + -3n)(8 + -1n) = 0Subproblem 1
Set the factor '(-38 + -3n)' equal to zero and attempt to solve: Simplifying -38 + -3n = 0 Solving -38 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -3n = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -3n = 0 + 38 -3n = 0 + 38 Combine like terms: 0 + 38 = 38 -3n = 38 Divide each side by '-3'. n = -12.66666667 Simplifying n = -12.66666667Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve: Simplifying 8 + -1n = 0 Solving 8 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 0 + -8 -1n = 0 + -8 Combine like terms: 0 + -8 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8Solution
n = {-12.66666667, 8}
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