g^2-28g+196=0

Solution for g^2-28g+196=0 equation:

Simplifying
g2 + -28g + 196 = 0

Reorder the terms:
196 + -28g + g2 = 0

Solving
196 + -28g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(14 + -1g)(14 + -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 '(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
Solution
g = {14, 14}