(4a+5)(4a+3)=

Solution for (4a+5)(4a+3)= equation:

Simplifying
(4a + 5)(4a + 3) = 0

Reorder the terms:
(5 + 4a)(4a + 3) = 0

Reorder the terms:
(5 + 4a)(3 + 4a) = 0

Multiply (5 + 4a) * (3 + 4a)
(5(3 + 4a) + 4a * (3 + 4a)) = 0
((3 * 5 + 4a * 5) + 4a * (3 + 4a)) = 0
((15 + 20a) + 4a * (3 + 4a)) = 0
(15 + 20a + (3 * 4a + 4a * 4a)) = 0
(15 + 20a + (12a + 16a2)) = 0

Combine like terms: 20a + 12a = 32a
(15 + 32a + 16a2) = 0

Solving
15 + 32a + 16a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(5 + 4a)(3 + 4a) = 0

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

Simplifying
5 + 4a = 0

Solving
5 + 4a = 0

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

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

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

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

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

Simplifying
a = -1.25
Subproblem 2
Set the factor '(3 + 4a)' equal to zero and attempt to solve:

Simplifying
3 + 4a = 0

Solving
3 + 4a = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4a = 0 + -3

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

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

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

Simplifying
a = -0.75
Solution
a = {-1.25, -0.75}