g^2-7g-8=0

Solution for g^2-7g-8=0 equation:

Simplifying
g2 + -7g + -8 = 0

Reorder the terms:
-8 + -7g + g2 = 0

Solving
-8 + -7g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-1 + -1g)(8 + -1g) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + -1g)' equal to zero and attempt to solve:

Simplifying
8 + -1g = 0

Solving
8 + -1g = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1g = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1g = 0 + -8
-1g = 0 + -8

Combine like terms: 0 + -8 = -8
-1g = -8

Divide each side by '-1'.
g = 8

Simplifying
g = 8
Solution
g = {-1, 8}