(g+9)(2g+1)=

Solution for (g+9)(2g+1)= equation:

Simplifying
(g + 9)(2g + 1) = 0

Reorder the terms:
(9 + g)(2g + 1) = 0

Reorder the terms:
(9 + g)(1 + 2g) = 0

Multiply (9 + g) * (1 + 2g)
(9(1 + 2g) + g(1 + 2g)) = 0
((1 * 9 + 2g * 9) + g(1 + 2g)) = 0
((9 + 18g) + g(1 + 2g)) = 0
(9 + 18g + (1 * g + 2g * g)) = 0
(9 + 18g + (1g + 2g2)) = 0

Combine like terms: 18g + 1g = 19g
(9 + 19g + 2g2) = 0

Solving
9 + 19g + 2g2 = 0

Solving for variable 'g'.

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

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

Simplifying
9 + g = 0

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

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

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

Simplifying
g = -9
Subproblem 2
Set the factor '(1 + 2g)' equal to zero and attempt to solve:

Simplifying
1 + 2g = 0

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

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

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

Divide each side by '2'.
g = -0.5

Simplifying
g = -0.5
Solution
g = {-9, -0.5}