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Simplifying 5n * n + -34n + -48 = 0 Multiply n * n 5n2 + -34n + -48 = 0 Reorder the terms: -48 + -34n + 5n2 = 0 Solving -48 + -34n + 5n2 = 0 Solving for variable 'n'. Factor a trinomial. (-6 + -5n)(8 + -1n) = 0Subproblem 1
Set the factor '(-6 + -5n)' equal to zero and attempt to solve: Simplifying -6 + -5n = 0 Solving -6 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5n = 0 + 6 -5n = 0 + 6 Combine like terms: 0 + 6 = 6 -5n = 6 Divide each side by '-5'. n = -1.2 Simplifying n = -1.2Subproblem 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 = {-1.2, 8}
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