g^2-6g+9=49

Solution for g^2-6g+9=49 equation:

Simplifying
g2 + -6g + 9 = 49

Reorder the terms:
9 + -6g + g2 = 49

Solving
9 + -6g + g2 = 49

Solving for variable 'g'.

Reorder the terms:
9 + -49 + -6g + g2 = 49 + -49

Combine like terms: 9 + -49 = -40
-40 + -6g + g2 = 49 + -49

Combine like terms: 49 + -49 = 0
-40 + -6g + g2 = 0

Factor a trinomial.
(-4 + -1g)(10 + -1g) = 0

Subproblem 1
Set the factor '(-4 + -1g)' equal to zero and attempt to solve:

Simplifying
-4 + -1g = 0

Solving
-4 + -1g = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1g = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1g = 0 + 4
-1g = 0 + 4

Combine like terms: 0 + 4 = 4
-1g = 4

Divide each side by '-1'.
g = -4

Simplifying
g = -4
Subproblem 2
Set the factor '(10 + -1g)' equal to zero and attempt to solve:

Simplifying
10 + -1g = 0

Solving
10 + -1g = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1g = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1g = 0 + -10
-1g = 0 + -10

Combine like terms: 0 + -10 = -10
-1g = -10

Divide each side by '-1'.
g = 10

Simplifying
g = 10
Solution
g = {-4, 10}