g^2-15g-54=0

Solution for g^2-15g-54=0 equation:

Simplifying
g2 + -15g + -54 = 0

Reorder the terms:
-54 + -15g + g2 = 0

Solving
-54 + -15g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-3 + -1g)(18 + -1g) = 0

Subproblem 1
Set the factor '(-3 + -1g)' equal to zero and attempt to solve:

Simplifying
-3 + -1g = 0

Solving
-3 + -1g = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1g = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1g = 0 + 3
-1g = 0 + 3

Combine like terms: 0 + 3 = 3
-1g = 3

Divide each side by '-1'.
g = -3

Simplifying
g = -3
Subproblem 2
Set the factor '(18 + -1g)' equal to zero and attempt to solve:

Simplifying
18 + -1g = 0

Solving
18 + -1g = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1g = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1g = 0 + -18
-1g = 0 + -18

Combine like terms: 0 + -18 = -18
-1g = -18

Divide each side by '-1'.
g = 18

Simplifying
g = 18
Solution
g = {-3, 18}