7n^2-18n+11=0

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Solution for 7n^2-18n+11=0 equation:


Simplifying
7n2 + -18n + 11 = 0

Reorder the terms:
11 + -18n + 7n2 = 0

Solving
11 + -18n + 7n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(1 + -1n)(11 + -7n) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(11 + -7n)' equal to zero and attempt to solve: Simplifying 11 + -7n = 0 Solving 11 + -7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -7n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -7n = 0 + -11 -7n = 0 + -11 Combine like terms: 0 + -11 = -11 -7n = -11 Divide each side by '-7'. n = 1.571428571 Simplifying n = 1.571428571

Solution

n = {1, 1.571428571}

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