3n^2+2n=4880

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Solution for 3n^2+2n=4880 equation:


Simplifying
3n2 + 2n = 4880

Reorder the terms:
2n + 3n2 = 4880

Solving
2n + 3n2 = 4880

Solving for variable 'n'.

Reorder the terms:
-4880 + 2n + 3n2 = 4880 + -4880

Combine like terms: 4880 + -4880 = 0
-4880 + 2n + 3n2 = 0

Factor a trinomial.
(-122 + -3n)(40 + -1n) = 0

Subproblem 1

Set the factor '(-122 + -3n)' equal to zero and attempt to solve: Simplifying -122 + -3n = 0 Solving -122 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '122' to each side of the equation. -122 + 122 + -3n = 0 + 122 Combine like terms: -122 + 122 = 0 0 + -3n = 0 + 122 -3n = 0 + 122 Combine like terms: 0 + 122 = 122 -3n = 122 Divide each side by '-3'. n = -40.66666667 Simplifying n = -40.66666667

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 = {-40.66666667, 40}

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