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Simplifying 5n2 + -13n = 28 Reorder the terms: -13n + 5n2 = 28 Solving -13n + 5n2 = 28 Solving for variable 'n'. Reorder the terms: -28 + -13n + 5n2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + -13n + 5n2 = 0 Factor a trinomial. (-7 + -5n)(4 + -1n) = 0Subproblem 1
Set the factor '(-7 + -5n)' equal to zero and attempt to solve: Simplifying -7 + -5n = 0 Solving -7 + -5n = 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 + -5n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5n = 0 + 7 -5n = 0 + 7 Combine like terms: 0 + 7 = 7 -5n = 7 Divide each side by '-5'. n = -1.4 Simplifying n = -1.4Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 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 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4Solution
n = {-1.4, 4}
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