g^2+13g-14=0

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

Simplifying
g2 + 13g + -14 = 0

Reorder the terms:
-14 + 13g + g2 = 0

Solving
-14 + 13g + g2 = 0

Solving for variable 'g'.

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

Subproblem 1
Set the factor '(-14 + -1g)' equal to zero and attempt to solve:

Simplifying
-14 + -1g = 0

Solving
-14 + -1g = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1g = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1g = 0 + 14
-1g = 0 + 14

Combine like terms: 0 + 14 = 14
-1g = 14

Divide each side by '-1'.
g = -14

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

Simplifying
1 + -1g = 0

Solving
1 + -1g = 0

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

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

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

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

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

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