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Simplifying 4n2 + -1n + -390 = 0 Reorder the terms: -390 + -1n + 4n2 = 0 Solving -390 + -1n + 4n2 = 0 Solving for variable 'n'. Factor a trinomial. (-39 + -4n)(10 + -1n) = 0Subproblem 1
Set the factor '(-39 + -4n)' equal to zero and attempt to solve: Simplifying -39 + -4n = 0 Solving -39 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -4n = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -4n = 0 + 39 -4n = 0 + 39 Combine like terms: 0 + 39 = 39 -4n = 39 Divide each side by '-4'. n = -9.75 Simplifying n = -9.75Subproblem 2
Set the factor '(10 + -1n)' equal to zero and attempt to solve: Simplifying 10 + -1n = 0 Solving 10 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 0 + -10 -1n = 0 + -10 Combine like terms: 0 + -10 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10Solution
n = {-9.75, 10}
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