n(n-28)=-195

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Solution for n(n-28)=-195 equation:


Simplifying
n(n + -28) = -195

Reorder the terms:
n(-28 + n) = -195
(-28 * n + n * n) = -195
(-28n + n2) = -195

Solving
-28n + n2 = -195

Solving for variable 'n'.

Reorder the terms:
195 + -28n + n2 = -195 + 195

Combine like terms: -195 + 195 = 0
195 + -28n + n2 = 0

Factor a trinomial.
(13 + -1n)(15 + -1n) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(15 + -1n)' equal to zero and attempt to solve: Simplifying 15 + -1n = 0 Solving 15 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1n = 0 + -15 -1n = 0 + -15 Combine like terms: 0 + -15 = -15 -1n = -15 Divide each side by '-1'. n = 15 Simplifying n = 15

Solution

n = {13, 15}

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