X*X+13X=-42

Solution for X*X+13X=-42 equation:

Simplifying
X * X + 13X = -42

Multiply X * X
X2 + 13X = -42

Reorder the terms:
13X + X2 = -42

Solving
13X + X2 = -42

Solving for variable 'X'.

Reorder the terms:
42 + 13X + X2 = -42 + 42

Combine like terms: -42 + 42 = 0
42 + 13X + X2 = 0

Factor a trinomial.
(7 + X)(6 + X) = 0

Subproblem 1
Set the factor '(7 + X)' equal to zero and attempt to solve:

Simplifying
7 + X = 0

Solving
7 + X = 0

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

Add '-7' to each side of the equation.
7 + -7 + X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + X = 0 + -7
X = 0 + -7

Combine like terms: 0 + -7 = -7
X = -7

Simplifying
X = -7
Subproblem 2
Set the factor '(6 + X)' equal to zero and attempt to solve:

Simplifying
6 + X = 0

Solving
6 + X = 0

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

Add '-6' to each side of the equation.
6 + -6 + X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + X = 0 + -6
X = 0 + -6

Combine like terms: 0 + -6 = -6
X = -6

Simplifying
X = -6
Solution
X = {-7, -6}