9n*n-549n+7560=0

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Solution for 9n*n-549n+7560=0 equation:


Simplifying
9n * n + -549n + 7560 = 0

Multiply n * n
9n2 + -549n + 7560 = 0

Reorder the terms:
7560 + -549n + 9n2 = 0

Solving
7560 + -549n + 9n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '9'.
9(840 + -61n + n2) = 0

Factor a trinomial.
9((21 + -1n)(40 + -1n)) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(21 + -1n)' equal to zero and attempt to solve: Simplifying 21 + -1n = 0 Solving 21 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1n = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1n = 0 + -21 -1n = 0 + -21 Combine like terms: 0 + -21 = -21 -1n = -21 Divide each side by '-1'. n = 21 Simplifying n = 21

Subproblem 2

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

Solution

n = {21, 40}

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