(g-2)(2g-11)=0

Solution for (g-2)(2g-11)=0 equation:

Simplifying
(g + -2)(2g + -11) = 0

Reorder the terms:
(-2 + g)(2g + -11) = 0

Reorder the terms:
(-2 + g)(-11 + 2g) = 0

Multiply (-2 + g) * (-11 + 2g)
(-2(-11 + 2g) + g(-11 + 2g)) = 0
((-11 * -2 + 2g * -2) + g(-11 + 2g)) = 0
((22 + -4g) + g(-11 + 2g)) = 0
(22 + -4g + (-11 * g + 2g * g)) = 0
(22 + -4g + (-11g + 2g2)) = 0

Combine like terms: -4g + -11g = -15g
(22 + -15g + 2g2) = 0

Solving
22 + -15g + 2g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(2 + -1g)(11 + -2g) = 0

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

Simplifying
2 + -1g = 0

Solving
2 + -1g = 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 + -1g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1g = 0 + -2
-1g = 0 + -2

Combine like terms: 0 + -2 = -2
-1g = -2

Divide each side by '-1'.
g = 2

Simplifying
g = 2
Subproblem 2
Set the factor '(11 + -2g)' equal to zero and attempt to solve:

Simplifying
11 + -2g = 0

Solving
11 + -2g = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2g = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2g = 0 + -11
-2g = 0 + -11

Combine like terms: 0 + -11 = -11
-2g = -11

Divide each side by '-2'.
g = 5.5

Simplifying
g = 5.5
Solution
g = {2, 5.5}