(8x+3)(4x+3)=

Solution for (8x+3)(4x+3)= equation:

Simplifying
(8x + 3)(4x + 3) = 0

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

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

Multiply (3 + 8x) * (3 + 4x)
(3(3 + 4x) + 8x * (3 + 4x)) = 0
((3 * 3 + 4x * 3) + 8x * (3 + 4x)) = 0
((9 + 12x) + 8x * (3 + 4x)) = 0
(9 + 12x + (3 * 8x + 4x * 8x)) = 0
(9 + 12x + (24x + 32x2)) = 0

Combine like terms: 12x + 24x = 36x
(9 + 36x + 32x2) = 0

Solving
9 + 36x + 32x2 = 0

Solving for variable 'x'.

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

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

Simplifying
3 + 4x = 0

Solving
3 + 4x = 0

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

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

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

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

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

Simplifying
x = -0.75
Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve:

Simplifying
3 + 8x = 0

Solving
3 + 8x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 8x = 0 + -3

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

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

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

Simplifying
x = -0.375
Solution
x = {-0.75, -0.375}