n^2-11n=26

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Solution for n^2-11n=26 equation:


Simplifying
n2 + -11n = 26

Reorder the terms:
-11n + n2 = 26

Solving
-11n + n2 = 26

Solving for variable 'n'.

Reorder the terms:
-26 + -11n + n2 = 26 + -26

Combine like terms: 26 + -26 = 0
-26 + -11n + n2 = 0

Factor a trinomial.
(-2 + -1n)(13 + -1n) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(13 + -1n)' equal to zero and attempt to solve: Simplifying 13 + -1n = 0 Solving 13 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1n = 0 + -13 -1n = 0 + -13 Combine like terms: 0 + -13 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13

Solution

n = {-2, 13}

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