135=(2x-1)(x+1)

Solution for 135=(2x-1)(x+1) equation:

Simplifying
135 = (2x + -1)(x + 1)

Reorder the terms:
135 = (-1 + 2x)(x + 1)

Reorder the terms:
135 = (-1 + 2x)(1 + x)

Multiply (-1 + 2x) * (1 + x)
135 = (-1(1 + x) + 2x * (1 + x))
135 = ((1 * -1 + x * -1) + 2x * (1 + x))
135 = ((-1 + -1x) + 2x * (1 + x))
135 = (-1 + -1x + (1 * 2x + x * 2x))
135 = (-1 + -1x + (2x + 2x2))

Combine like terms: -1x + 2x = 1x
135 = (-1 + 1x + 2x2)

Solving
135 = -1 + 1x + 2x2

Solving for variable 'x'.

Combine like terms: 135 + 1 = 136
136 + -1x + -2x2 = -1 + 1x + 2x2 + 1 + -1x + -2x2

Reorder the terms:
136 + -1x + -2x2 = -1 + 1 + 1x + -1x + 2x2 + -2x2

Combine like terms: -1 + 1 = 0
136 + -1x + -2x2 = 0 + 1x + -1x + 2x2 + -2x2
136 + -1x + -2x2 = 1x + -1x + 2x2 + -2x2

Combine like terms: 1x + -1x = 0
136 + -1x + -2x2 = 0 + 2x2 + -2x2
136 + -1x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
136 + -1x + -2x2 = 0

Factor a trinomial.
(8 + -1x)(17 + 2x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(17 + 2x)' equal to zero and attempt to solve:

Simplifying
17 + 2x = 0

Solving
17 + 2x = 0

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

Add '-17' to each side of the equation.
17 + -17 + 2x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 0 + -17
2x = 0 + -17

Combine like terms: 0 + -17 = -17
2x = -17

Divide each side by '2'.
x = -8.5

Simplifying
x = -8.5
Solution
x = {8, -8.5}