(4x+2)(4x+9x+3)=

Solution for (4x+2)(4x+9x+3)= equation:

Simplifying
(4x + 2)(4x + 9x + 3) = 0

Reorder the terms:
(2 + 4x)(4x + 9x + 3) = 0

Reorder the terms:
(2 + 4x)(3 + 4x + 9x) = 0

Combine like terms: 4x + 9x = 13x
(2 + 4x)(3 + 13x) = 0

Multiply (2 + 4x) * (3 + 13x)
(2(3 + 13x) + 4x * (3 + 13x)) = 0
((3 * 2 + 13x * 2) + 4x * (3 + 13x)) = 0
((6 + 26x) + 4x * (3 + 13x)) = 0
(6 + 26x + (3 * 4x + 13x * 4x)) = 0
(6 + 26x + (12x + 52x2)) = 0

Combine like terms: 26x + 12x = 38x
(6 + 38x + 52x2) = 0

Solving
6 + 38x + 52x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 19x + 26x2) = 0

Factor a trinomial.
2((1 + 2x)(3 + 13x)) = 0

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(3 + 13x)' equal to zero and attempt to solve:

Simplifying
3 + 13x = 0

Solving
3 + 13x = 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 + 13x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 13x = 0 + -3
13x = 0 + -3

Combine like terms: 0 + -3 = -3
13x = -3

Divide each side by '13'.
x = -0.2307692308

Simplifying
x = -0.2307692308
Solution
x = {-0.5, -0.2307692308}