(4g+5)(g+1)=0

Solution for (4g+5)(g+1)=0 equation:

Simplifying
(4g + 5)(g + 1) = 0

Reorder the terms:
(5 + 4g)(g + 1) = 0

Reorder the terms:
(5 + 4g)(1 + g) = 0

Multiply (5 + 4g) * (1 + g)
(5(1 + g) + 4g * (1 + g)) = 0
((1 * 5 + g * 5) + 4g * (1 + g)) = 0
((5 + 5g) + 4g * (1 + g)) = 0
(5 + 5g + (1 * 4g + g * 4g)) = 0
(5 + 5g + (4g + 4g2)) = 0

Combine like terms: 5g + 4g = 9g
(5 + 9g + 4g2) = 0

Solving
5 + 9g + 4g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(5 + 4g)(1 + g) = 0

Subproblem 1
Set the factor '(5 + 4g)' equal to zero and attempt to solve:

Simplifying
5 + 4g = 0

Solving
5 + 4g = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4g = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4g = 0 + -5
4g = 0 + -5

Combine like terms: 0 + -5 = -5
4g = -5

Divide each side by '4'.
g = -1.25

Simplifying
g = -1.25
Subproblem 2
Set the factor '(1 + g)' equal to zero and attempt to solve:

Simplifying
1 + g = 0

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

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

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

Simplifying
g = -1
Solution
g = {-1.25, -1}