2n^2+9n=68

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Solution for 2n^2+9n=68 equation:


Simplifying
2n2 + 9n = 68

Reorder the terms:
9n + 2n2 = 68

Solving
9n + 2n2 = 68

Solving for variable 'n'.

Reorder the terms:
-68 + 9n + 2n2 = 68 + -68

Combine like terms: 68 + -68 = 0
-68 + 9n + 2n2 = 0

Factor a trinomial.
(-17 + -2n)(4 + -1n) = 0

Subproblem 1

Set the factor '(-17 + -2n)' equal to zero and attempt to solve: Simplifying -17 + -2n = 0 Solving -17 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -2n = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -2n = 0 + 17 -2n = 0 + 17 Combine like terms: 0 + 17 = 17 -2n = 17 Divide each side by '-2'. n = -8.5 Simplifying n = -8.5

Subproblem 2

Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4

Solution

n = {-8.5, 4}

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