X*X+13X=-12

Solution for X*X+13X=-12 equation:

Simplifying
X * X + 13X = -12

Multiply X * X
X2 + 13X = -12

Reorder the terms:
13X + X2 = -12

Solving
13X + X2 = -12

Solving for variable 'X'.

Reorder the terms:
12 + 13X + X2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + 13X + X2 = 0

Factor a trinomial.
(12 + X)(1 + X) = 0

Subproblem 1
Set the factor '(12 + X)' equal to zero and attempt to solve:

Simplifying
12 + X = 0

Solving
12 + X = 0

Move all terms containing X to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + X = 0 + -12

Combine like terms: 12 + -12 = 0
0 + X = 0 + -12
X = 0 + -12

Combine like terms: 0 + -12 = -12
X = -12

Simplifying
X = -12
Subproblem 2
Set the factor '(1 + X)' equal to zero and attempt to solve:

Simplifying
1 + X = 0

Solving
1 + X = 0

Move all terms containing X to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + X = 0 + -1
X = 0 + -1

Combine like terms: 0 + -1 = -1
X = -1

Simplifying
X = -1
Solution
X = {-12, -1}