81g^2-72g-9=0

Solution for 81g^2-72g-9=0 equation:

Simplifying
81g2 + -72g + -9 = 0

Reorder the terms:
-9 + -72g + 81g2 = 0

Solving
-9 + -72g + 81g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-1 + -8g + 9g2) = 0

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

Ignore the factor 9.
Subproblem 1
Set the factor '(-1 + -9g)' equal to zero and attempt to solve:

Simplifying
-1 + -9g = 0

Solving
-1 + -9g = 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 + -9g = 0 + 1

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

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

Divide each side by '-9'.
g = -0.1111111111

Simplifying
g = -0.1111111111
Subproblem 2
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
Solution
g = {-0.1111111111, 1}