n^2-90n+2000=0

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Solution for n^2-90n+2000=0 equation:


Simplifying
n2 + -90n + 2000 = 0

Reorder the terms:
2000 + -90n + n2 = 0

Solving
2000 + -90n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(40 + -1n)(50 + -1n) = 0

Subproblem 1

Set the factor '(40 + -1n)' equal to zero and attempt to solve: Simplifying 40 + -1n = 0 Solving 40 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1n = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1n = 0 + -40 -1n = 0 + -40 Combine like terms: 0 + -40 = -40 -1n = -40 Divide each side by '-1'. n = 40 Simplifying n = 40

Subproblem 2

Set the factor '(50 + -1n)' equal to zero and attempt to solve: Simplifying 50 + -1n = 0 Solving 50 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1n = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1n = 0 + -50 -1n = 0 + -50 Combine like terms: 0 + -50 = -50 -1n = -50 Divide each side by '-1'. n = 50 Simplifying n = 50

Solution

n = {40, 50}

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