(a+3)(8a+3)=

Solution for (a+3)(8a+3)= equation:

Simplifying
(a + 3)(8a + 3) = 0

Reorder the terms:
(3 + a)(8a + 3) = 0

Reorder the terms:
(3 + a)(3 + 8a) = 0

Multiply (3 + a) * (3 + 8a)
(3(3 + 8a) + a(3 + 8a)) = 0
((3 * 3 + 8a * 3) + a(3 + 8a)) = 0
((9 + 24a) + a(3 + 8a)) = 0
(9 + 24a + (3 * a + 8a * a)) = 0
(9 + 24a + (3a + 8a2)) = 0

Combine like terms: 24a + 3a = 27a
(9 + 27a + 8a2) = 0

Solving
9 + 27a + 8a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3 + a)(3 + 8a) = 0

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

Simplifying
3 + a = 0

Solving
3 + a = 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 + a = 0 + -3

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

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

Simplifying
a = -3
Subproblem 2
Set the factor '(3 + 8a)' equal to zero and attempt to solve:

Simplifying
3 + 8a = 0

Solving
3 + 8a = 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 + 8a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8a = 0 + -3
8a = 0 + -3

Combine like terms: 0 + -3 = -3
8a = -3

Divide each side by '8'.
a = -0.375

Simplifying
a = -0.375
Solution
a = {-3, -0.375}