7n^2-23n+18=0

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Solution for 7n^2-23n+18=0 equation:


Simplifying
7n2 + -23n + 18 = 0

Reorder the terms:
18 + -23n + 7n2 = 0

Solving
18 + -23n + 7n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(9 + -7n)(2 + -1n) = 0

Subproblem 1

Set the factor '(9 + -7n)' equal to zero and attempt to solve: Simplifying 9 + -7n = 0 Solving 9 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7n = 0 + -9 -7n = 0 + -9 Combine like terms: 0 + -9 = -9 -7n = -9 Divide each side by '-7'. n = 1.285714286 Simplifying n = 1.285714286

Subproblem 2

Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2

Solution

n = {1.285714286, 2}

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