7X^2+13X=-6

Solution for 7X^2+13X=-6 equation:

Simplifying
7X2 + 13X = -6

Reorder the terms:
13X + 7X2 = -6

Solving
13X + 7X2 = -6

Solving for variable 'X'.

Reorder the terms:
6 + 13X + 7X2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + 13X + 7X2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(6 + 7X)' equal to zero and attempt to solve:

Simplifying
6 + 7X = 0

Solving
6 + 7X = 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 + 7X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7X = 0 + -6
7X = 0 + -6

Combine like terms: 0 + -6 = -6
7X = -6

Divide each side by '7'.
X = -0.8571428571

Simplifying
X = -0.8571428571
Solution
X = {-1, -0.8571428571}