g^2-2g-63=0

Solution for g^2-2g-63=0 equation:

Simplifying
g2 + -2g + -63 = 0

Reorder the terms:
-63 + -2g + g2 = 0

Solving
-63 + -2g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-7 + -1g)(9 + -1g) = 0

Subproblem 1
Set the factor '(-7 + -1g)' equal to zero and attempt to solve:

Simplifying
-7 + -1g = 0

Solving
-7 + -1g = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1g = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1g = 0 + 7
-1g = 0 + 7

Combine like terms: 0 + 7 = 7
-1g = 7

Divide each side by '-1'.
g = -7

Simplifying
g = -7
Subproblem 2
Set the factor '(9 + -1g)' equal to zero and attempt to solve:

Simplifying
9 + -1g = 0

Solving
9 + -1g = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1g = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1g = 0 + -9
-1g = 0 + -9

Combine like terms: 0 + -9 = -9
-1g = -9

Divide each side by '-1'.
g = 9

Simplifying
g = 9
Solution
g = {-7, 9}