3n^2-17n-90=0

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Solution for 3n^2-17n-90=0 equation:


Simplifying
3n2 + -17n + -90 = 0

Reorder the terms:
-90 + -17n + 3n2 = 0

Solving
-90 + -17n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-10 + -3n)(9 + -1n) = 0

Subproblem 1

Set the factor '(-10 + -3n)' equal to zero and attempt to solve: Simplifying -10 + -3n = 0 Solving -10 + -3n = 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 + -3n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3n = 0 + 10 -3n = 0 + 10 Combine like terms: 0 + 10 = 10 -3n = 10 Divide each side by '-3'. n = -3.333333333 Simplifying n = -3.333333333

Subproblem 2

Set the factor '(9 + -1n)' equal to zero and attempt to solve: Simplifying 9 + -1n = 0 Solving 9 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1n = 0 + -9 -1n = 0 + -9 Combine like terms: 0 + -9 = -9 -1n = -9 Divide each side by '-1'. n = 9 Simplifying n = 9

Solution

n = {-3.333333333, 9}

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