-13n^2+2380=-12n

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Solution for -13n^2+2380=-12n equation:


Simplifying
-13n2 + 2380 = -12n

Reorder the terms:
2380 + -13n2 = -12n

Solving
2380 + -13n2 = -12n

Solving for variable 'n'.

Reorder the terms:
2380 + 12n + -13n2 = -12n + 12n

Combine like terms: -12n + 12n = 0
2380 + 12n + -13n2 = 0

Factor a trinomial.
(14 + -1n)(170 + 13n) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(170 + 13n)' equal to zero and attempt to solve: Simplifying 170 + 13n = 0 Solving 170 + 13n = 0 Move all terms containing n to the left, all other terms to the right. Add '-170' to each side of the equation. 170 + -170 + 13n = 0 + -170 Combine like terms: 170 + -170 = 0 0 + 13n = 0 + -170 13n = 0 + -170 Combine like terms: 0 + -170 = -170 13n = -170 Divide each side by '13'. n = -13.07692308 Simplifying n = -13.07692308

Solution

n = {14, -13.07692308}

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