(2x+1)(x+3)=187

Solution for (2x+1)(x+3)=187 equation:

Simplifying
(2x + 1)(x + 3) = 187

Reorder the terms:
(1 + 2x)(x + 3) = 187

Reorder the terms:
(1 + 2x)(3 + x) = 187

Multiply (1 + 2x) * (3 + x)
(1(3 + x) + 2x * (3 + x)) = 187
((3 * 1 + x * 1) + 2x * (3 + x)) = 187
((3 + 1x) + 2x * (3 + x)) = 187
(3 + 1x + (3 * 2x + x * 2x)) = 187
(3 + 1x + (6x + 2x2)) = 187

Combine like terms: 1x + 6x = 7x
(3 + 7x + 2x2) = 187

Solving
3 + 7x + 2x2 = 187

Solving for variable 'x'.

Reorder the terms:
3 + -187 + 7x + 2x2 = 187 + -187

Combine like terms: 3 + -187 = -184
-184 + 7x + 2x2 = 187 + -187

Combine like terms: 187 + -187 = 0
-184 + 7x + 2x2 = 0

Factor a trinomial.
(-23 + -2x)(8 + -1x) = 0

Subproblem 1
Set the factor '(-23 + -2x)' equal to zero and attempt to solve:

Simplifying
-23 + -2x = 0

Solving
-23 + -2x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -2x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -2x = 0 + 23
-2x = 0 + 23

Combine like terms: 0 + 23 = 23
-2x = 23

Divide each side by '-2'.
x = -11.5

Simplifying
x = -11.5
Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-11.5, 8}