(g-6)(g+9)=0

Solution for (g-6)(g+9)=0 equation:

Simplifying
(g + -6)(g + 9) = 0

Reorder the terms:
(-6 + g)(g + 9) = 0

Reorder the terms:
(-6 + g)(9 + g) = 0

Multiply (-6 + g) * (9 + g)
(-6(9 + g) + g(9 + g)) = 0
((9 * -6 + g * -6) + g(9 + g)) = 0
((-54 + -6g) + g(9 + g)) = 0
(-54 + -6g + (9 * g + g * g)) = 0
(-54 + -6g + (9g + g2)) = 0

Combine like terms: -6g + 9g = 3g
(-54 + 3g + g2) = 0

Solving
-54 + 3g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-9 + -1g)(6 + -1g) = 0

Subproblem 1
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
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 = {-9, 6}