(3x+2)(x+6)=140

Solution for (3x+2)(x+6)=140 equation:

Simplifying
(3x + 2)(x + 6) = 140

Reorder the terms:
(2 + 3x)(x + 6) = 140

Reorder the terms:
(2 + 3x)(6 + x) = 140

Multiply (2 + 3x) * (6 + x)
(2(6 + x) + 3x * (6 + x)) = 140
((6 * 2 + x * 2) + 3x * (6 + x)) = 140
((12 + 2x) + 3x * (6 + x)) = 140
(12 + 2x + (6 * 3x + x * 3x)) = 140
(12 + 2x + (18x + 3x2)) = 140

Combine like terms: 2x + 18x = 20x
(12 + 20x + 3x2) = 140

Solving
12 + 20x + 3x2 = 140

Solving for variable 'x'.

Reorder the terms:
12 + -140 + 20x + 3x2 = 140 + -140

Combine like terms: 12 + -140 = -128
-128 + 20x + 3x2 = 140 + -140

Combine like terms: 140 + -140 = 0
-128 + 20x + 3x2 = 0

Factor a trinomial.
(-32 + -3x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-32 + -3x)' equal to zero and attempt to solve:

Simplifying
-32 + -3x = 0

Solving
-32 + -3x = 0

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

Add '32' to each side of the equation.
-32 + 32 + -3x = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -3x = 0 + 32
-3x = 0 + 32

Combine like terms: 0 + 32 = 32
-3x = 32

Divide each side by '-3'.
x = -10.66666667

Simplifying
x = -10.66666667
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-10.66666667, 4}