n*(n-1)=56

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Solution for n*(n-1)=56 equation:


Simplifying
n(n + -1) = 56

Reorder the terms:
n(-1 + n) = 56
(-1 * n + n * n) = 56
(-1n + n2) = 56

Solving
-1n + n2 = 56

Solving for variable 'n'.

Reorder the terms:
-56 + -1n + n2 = 56 + -56

Combine like terms: 56 + -56 = 0
-56 + -1n + n2 = 0

Factor a trinomial.
(-7 + -1n)(8 + -1n) = 0

Subproblem 1

Set the factor '(-7 + -1n)' equal to zero and attempt to solve: Simplifying -7 + -1n = 0 Solving -7 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1n = 0 + 7 -1n = 0 + 7 Combine like terms: 0 + 7 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7

Subproblem 2

Set the factor '(8 + -1n)' equal to zero and attempt to solve: Simplifying 8 + -1n = 0 Solving 8 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 0 + -8 -1n = 0 + -8 Combine like terms: 0 + -8 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8

Solution

n = {-7, 8}

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