140=(x+4)(x-1)

Solution for 140=(x+4)(x-1) equation:

Simplifying
140 = (x + 4)(x + -1)

Reorder the terms:
140 = (4 + x)(x + -1)

Reorder the terms:
140 = (4 + x)(-1 + x)

Multiply (4 + x) * (-1 + x)
140 = (4(-1 + x) + x(-1 + x))
140 = ((-1 * 4 + x * 4) + x(-1 + x))
140 = ((-4 + 4x) + x(-1 + x))
140 = (-4 + 4x + (-1 * x + x * x))
140 = (-4 + 4x + (-1x + x2))

Combine like terms: 4x + -1x = 3x
140 = (-4 + 3x + x2)

Solving
140 = -4 + 3x + x2

Solving for variable 'x'.

Combine like terms: 140 + 4 = 144
144 + -3x + -1x2 = -4 + 3x + x2 + 4 + -3x + -1x2

Reorder the terms:
144 + -3x + -1x2 = -4 + 4 + 3x + -3x + x2 + -1x2

Combine like terms: -4 + 4 = 0
144 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2
144 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
144 + -3x + -1x2 = 0 + x2 + -1x2
144 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
144 + -3x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-144 + 3x + x2 = 0

Move the constant term to the right:

Add '144' to each side of the equation.
-144 + 3x + 144 + x2 = 0 + 144

Reorder the terms:
-144 + 144 + 3x + x2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 3x + x2 = 0 + 144
3x + x2 = 0 + 144

Combine like terms: 0 + 144 = 144
3x + x2 = 144

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 144 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 144 + 2.25

Combine like terms: 144 + 2.25 = 146.25
2.25 + 3x + x2 = 146.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 146.25

Calculate the square root of the right side: 12.093386622

Break this problem into two subproblems by setting 
(x + 1.5) equal to 12.093386622 and -12.093386622.

Subproblem 1
x + 1.5 = 12.093386622

Simplifying
x + 1.5 = 12.093386622

Reorder the terms:
1.5 + x = 12.093386622

Solving
1.5 + x = 12.093386622

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 12.093386622 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 12.093386622 + -1.5
x = 12.093386622 + -1.5

Combine like terms: 12.093386622 + -1.5 = 10.593386622
x = 10.593386622

Simplifying
x = 10.593386622

Subproblem 2
x + 1.5 = -12.093386622

Simplifying
x + 1.5 = -12.093386622

Reorder the terms:
1.5 + x = -12.093386622

Solving
1.5 + x = -12.093386622

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -12.093386622 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -12.093386622 + -1.5
x = -12.093386622 + -1.5

Combine like terms: -12.093386622 + -1.5 = -13.593386622
x = -13.593386622

Simplifying
x = -13.593386622

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.593386622, -13.593386622}