(x+3)(x-1)=140

Solution for (x+3)(x-1)=140 equation:

Simplifying
(x + 3)(x + -1) = 140

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

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

Multiply (3 + x) * (-1 + x)
(3(-1 + x) + x(-1 + x)) = 140
((-1 * 3 + x * 3) + x(-1 + x)) = 140
((-3 + 3x) + x(-1 + x)) = 140
(-3 + 3x + (-1 * x + x * x)) = 140
(-3 + 3x + (-1x + x2)) = 140

Combine like terms: 3x + -1x = 2x
(-3 + 2x + x2) = 140

Solving
-3 + 2x + x2 = 140

Solving for variable 'x'.

Reorder the terms:
-3 + -140 + 2x + x2 = 140 + -140

Combine like terms: -3 + -140 = -143
-143 + 2x + x2 = 140 + -140

Combine like terms: 140 + -140 = 0
-143 + 2x + x2 = 0

Factor a trinomial.
(-13 + -1x)(11 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-13, 11}