(3x+1)(8x+6)=

Solution for (3x+1)(8x+6)= equation:

Simplifying
(3x + 1)(8x + 6) = 0

Reorder the terms:
(1 + 3x)(8x + 6) = 0

Reorder the terms:
(1 + 3x)(6 + 8x) = 0

Multiply (1 + 3x) * (6 + 8x)
(1(6 + 8x) + 3x * (6 + 8x)) = 0
((6 * 1 + 8x * 1) + 3x * (6 + 8x)) = 0
((6 + 8x) + 3x * (6 + 8x)) = 0
(6 + 8x + (6 * 3x + 8x * 3x)) = 0
(6 + 8x + (18x + 24x2)) = 0

Combine like terms: 8x + 18x = 26x
(6 + 26x + 24x2) = 0

Solving
6 + 26x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 13x + 12x2) = 0

Factor a trinomial.
2((3 + 4x)(1 + 3x)) = 0

Ignore the factor 2.
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 '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-0.75, -0.3333333333}