-X^2-13X+14=0

Solution for -X^2-13X+14=0 equation:

Simplifying
-1X2 + -13X + 14 = 0

Reorder the terms:
14 + -13X + -1X2 = 0

Solving
14 + -13X + -1X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(1 + -1X)(14 + X) = 0

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

Simplifying
1 + -1X = 0

Solving
1 + -1X = 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 + -1X = 0 + -1

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

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

Divide each side by '-1'.
X = 1

Simplifying
X = 1
Subproblem 2
Set the factor '(14 + X)' equal to zero and attempt to solve:

Simplifying
14 + X = 0

Solving
14 + X = 0

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

Add '-14' to each side of the equation.
14 + -14 + X = 0 + -14

Combine like terms: 14 + -14 = 0
0 + X = 0 + -14
X = 0 + -14

Combine like terms: 0 + -14 = -14
X = -14

Simplifying
X = -14
Solution
X = {1, -14}