(2x+1)(9x+4)=

Solution for (2x+1)(9x+4)= equation:

Simplifying
(2x + 1)(9x + 4) = 0

Reorder the terms:
(1 + 2x)(9x + 4) = 0

Reorder the terms:
(1 + 2x)(4 + 9x) = 0

Multiply (1 + 2x) * (4 + 9x)
(1(4 + 9x) + 2x * (4 + 9x)) = 0
((4 * 1 + 9x * 1) + 2x * (4 + 9x)) = 0
((4 + 9x) + 2x * (4 + 9x)) = 0
(4 + 9x + (4 * 2x + 9x * 2x)) = 0
(4 + 9x + (8x + 18x2)) = 0

Combine like terms: 9x + 8x = 17x
(4 + 17x + 18x2) = 0

Solving
4 + 17x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + 2x)(4 + 9x) = 0

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 '(4 + 9x)' equal to zero and attempt to solve:

Simplifying
4 + 9x = 0

Solving
4 + 9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 0 + -4
9x = 0 + -4

Combine like terms: 0 + -4 = -4
9x = -4

Divide each side by '9'.
x = -0.4444444444

Simplifying
x = -0.4444444444
Solution
x = {-0.5, -0.4444444444}