18=(2x+3)(x-1)

Solution for 18=(2x+3)(x-1) equation:

Simplifying
18 = (2x + 3)(x + -1)

Reorder the terms:
18 = (3 + 2x)(x + -1)

Reorder the terms:
18 = (3 + 2x)(-1 + x)

Multiply (3 + 2x) * (-1 + x)
18 = (3(-1 + x) + 2x * (-1 + x))
18 = ((-1 * 3 + x * 3) + 2x * (-1 + x))
18 = ((-3 + 3x) + 2x * (-1 + x))
18 = (-3 + 3x + (-1 * 2x + x * 2x))
18 = (-3 + 3x + (-2x + 2x2))

Combine like terms: 3x + -2x = 1x
18 = (-3 + 1x + 2x2)

Solving
18 = -3 + 1x + 2x2

Solving for variable 'x'.

Combine like terms: 18 + 3 = 21
21 + -1x + -2x2 = -3 + 1x + 2x2 + 3 + -1x + -2x2

Reorder the terms:
21 + -1x + -2x2 = -3 + 3 + 1x + -1x + 2x2 + -2x2

Combine like terms: -3 + 3 = 0
21 + -1x + -2x2 = 0 + 1x + -1x + 2x2 + -2x2
21 + -1x + -2x2 = 1x + -1x + 2x2 + -2x2

Combine like terms: 1x + -1x = 0
21 + -1x + -2x2 = 0 + 2x2 + -2x2
21 + -1x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
21 + -1x + -2x2 = 0

Factor a trinomial.
(3 + -1x)(7 + 2x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {3, -3.5}