(4g+3)(2g+1)=

Solution for (4g+3)(2g+1)= equation:

Simplifying
(4g + 3)(2g + 1) = 0

Reorder the terms:
(3 + 4g)(2g + 1) = 0

Reorder the terms:
(3 + 4g)(1 + 2g) = 0

Multiply (3 + 4g) * (1 + 2g)
(3(1 + 2g) + 4g * (1 + 2g)) = 0
((1 * 3 + 2g * 3) + 4g * (1 + 2g)) = 0
((3 + 6g) + 4g * (1 + 2g)) = 0
(3 + 6g + (1 * 4g + 2g * 4g)) = 0
(3 + 6g + (4g + 8g2)) = 0

Combine like terms: 6g + 4g = 10g
(3 + 10g + 8g2) = 0

Solving
3 + 10g + 8g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(3 + 4g)(1 + 2g) = 0

Subproblem 1
Set the factor '(3 + 4g)' equal to zero and attempt to solve:

Simplifying
3 + 4g = 0

Solving
3 + 4g = 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 + 4g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4g = 0 + -3
4g = 0 + -3

Combine like terms: 0 + -3 = -3
4g = -3

Divide each side by '4'.
g = -0.75

Simplifying
g = -0.75
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 = {-0.75, -0.5}