3n^2-n-574=0

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Solution for 3n^2-n-574=0 equation:


Simplifying
3n2 + -1n + -574 = 0

Reorder the terms:
-574 + -1n + 3n2 = 0

Solving
-574 + -1n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-41 + -3n)(14 + -1n) = 0

Subproblem 1

Set the factor '(-41 + -3n)' equal to zero and attempt to solve: Simplifying -41 + -3n = 0 Solving -41 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -3n = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -3n = 0 + 41 -3n = 0 + 41 Combine like terms: 0 + 41 = 41 -3n = 41 Divide each side by '-3'. n = -13.66666667 Simplifying n = -13.66666667

Subproblem 2

Set the factor '(14 + -1n)' equal to zero and attempt to solve: Simplifying 14 + -1n = 0 Solving 14 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1n = 0 + -14 -1n = 0 + -14 Combine like terms: 0 + -14 = -14 -1n = -14 Divide each side by '-1'. n = 14 Simplifying n = 14

Solution

n = {-13.66666667, 14}

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