n^2+12n+10=-10

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Solution for n^2+12n+10=-10 equation:


Simplifying
n2 + 12n + 10 = -10

Reorder the terms:
10 + 12n + n2 = -10

Solving
10 + 12n + n2 = -10

Solving for variable 'n'.

Reorder the terms:
10 + 10 + 12n + n2 = -10 + 10

Combine like terms: 10 + 10 = 20
20 + 12n + n2 = -10 + 10

Combine like terms: -10 + 10 = 0
20 + 12n + n2 = 0

Factor a trinomial.
(10 + n)(2 + n) = 0

Subproblem 1

Set the factor '(10 + n)' equal to zero and attempt to solve: Simplifying 10 + n = 0 Solving 10 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + n = 0 + -10 n = 0 + -10 Combine like terms: 0 + -10 = -10 n = -10 Simplifying n = -10

Subproblem 2

Set the factor '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 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 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2

Solution

n = {-10, -2}

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