(3g-2)(g-3)=

Solution for (3g-2)(g-3)= equation:

Simplifying
(3g + -2)(g + -3) = 0

Reorder the terms:
(-2 + 3g)(g + -3) = 0

Reorder the terms:
(-2 + 3g)(-3 + g) = 0

Multiply (-2 + 3g) * (-3 + g)
(-2(-3 + g) + 3g * (-3 + g)) = 0
((-3 * -2 + g * -2) + 3g * (-3 + g)) = 0
((6 + -2g) + 3g * (-3 + g)) = 0
(6 + -2g + (-3 * 3g + g * 3g)) = 0
(6 + -2g + (-9g + 3g2)) = 0

Combine like terms: -2g + -9g = -11g
(6 + -11g + 3g2) = 0

Solving
6 + -11g + 3g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(2 + -3g)(3 + -1g) = 0

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

Simplifying
2 + -3g = 0

Solving
2 + -3g = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3g = 0 + -2
-3g = 0 + -2

Combine like terms: 0 + -2 = -2
-3g = -2

Divide each side by '-3'.
g = 0.6666666667

Simplifying
g = 0.6666666667
Subproblem 2
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
Solution
g = {0.6666666667, 3}