4g^2-21g-18=0

Solution for 4g^2-21g-18=0 equation:

Simplifying
4g2 + -21g + -18 = 0

Reorder the terms:
-18 + -21g + 4g2 = 0

Solving
-18 + -21g + 4g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-3 + -4g)(6 + -1g) = 0

Subproblem 1
Set the factor '(-3 + -4g)' equal to zero and attempt to solve:

Simplifying
-3 + -4g = 0

Solving
-3 + -4g = 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 + -4g = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4g = 0 + 3
-4g = 0 + 3

Combine like terms: 0 + 3 = 3
-4g = 3

Divide each side by '-4'.
g = -0.75

Simplifying
g = -0.75
Subproblem 2
Set the factor '(6 + -1g)' equal to zero and attempt to solve:

Simplifying
6 + -1g = 0

Solving
6 + -1g = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1g = 0 + -6
-1g = 0 + -6

Combine like terms: 0 + -6 = -6
-1g = -6

Divide each side by '-1'.
g = 6

Simplifying
g = 6
Solution
g = {-0.75, 6}