(4x+3)(x+3)=184

Solution for (4x+3)(x+3)=184 equation:

Simplifying
(4x + 3)(x + 3) = 184

Reorder the terms:
(3 + 4x)(x + 3) = 184

Reorder the terms:
(3 + 4x)(3 + x) = 184

Multiply (3 + 4x) * (3 + x)
(3(3 + x) + 4x * (3 + x)) = 184
((3 * 3 + x * 3) + 4x * (3 + x)) = 184
((9 + 3x) + 4x * (3 + x)) = 184
(9 + 3x + (3 * 4x + x * 4x)) = 184
(9 + 3x + (12x + 4x2)) = 184

Combine like terms: 3x + 12x = 15x
(9 + 15x + 4x2) = 184

Solving
9 + 15x + 4x2 = 184

Solving for variable 'x'.

Reorder the terms:
9 + -184 + 15x + 4x2 = 184 + -184

Combine like terms: 9 + -184 = -175
-175 + 15x + 4x2 = 184 + -184

Combine like terms: 184 + -184 = 0
-175 + 15x + 4x2 = 0

Factor a trinomial.
(-35 + -4x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-35 + -4x)' equal to zero and attempt to solve:

Simplifying
-35 + -4x = 0

Solving
-35 + -4x = 0

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

Add '35' to each side of the equation.
-35 + 35 + -4x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -4x = 0 + 35
-4x = 0 + 35

Combine like terms: 0 + 35 = 35
-4x = 35

Divide each side by '-4'.
x = -8.75

Simplifying
x = -8.75
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-8.75, 5}