(4a-3)(8a+3)=

Solution for (4a-3)(8a+3)= equation:

Simplifying
(4a + -3)(8a + 3) = 0

Reorder the terms:
(-3 + 4a)(8a + 3) = 0

Reorder the terms:
(-3 + 4a)(3 + 8a) = 0

Multiply (-3 + 4a) * (3 + 8a)
(-3(3 + 8a) + 4a * (3 + 8a)) = 0
((3 * -3 + 8a * -3) + 4a * (3 + 8a)) = 0
((-9 + -24a) + 4a * (3 + 8a)) = 0
(-9 + -24a + (3 * 4a + 8a * 4a)) = 0
(-9 + -24a + (12a + 32a2)) = 0

Combine like terms: -24a + 12a = -12a
(-9 + -12a + 32a2) = 0

Solving
-9 + -12a + 32a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-3 + -8a)(3 + -4a) = 0

Subproblem 1
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
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 = {-0.375, 0.75}