g^2-15g+26=0

Solution for g^2-15g+26=0 equation:

Simplifying
g2 + -15g + 26 = 0

Reorder the terms:
26 + -15g + g2 = 0

Solving
26 + -15g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(2 + -1g)(13 + -1g) = 0

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

Simplifying
2 + -1g = 0

Solving
2 + -1g = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1g = 0 + -2
-1g = 0 + -2

Combine like terms: 0 + -2 = -2
-1g = -2

Divide each side by '-1'.
g = 2

Simplifying
g = 2
Subproblem 2
Set the factor '(13 + -1g)' equal to zero and attempt to solve:

Simplifying
13 + -1g = 0

Solving
13 + -1g = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1g = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1g = 0 + -13
-1g = 0 + -13

Combine like terms: 0 + -13 = -13
-1g = -13

Divide each side by '-1'.
g = 13

Simplifying
g = 13
Solution
g = {2, 13}