(3x+1)(x+6)=56

Solution for (3x+1)(x+6)=56 equation:

Simplifying
(3x + 1)(x + 6) = 56

Reorder the terms:
(1 + 3x)(x + 6) = 56

Reorder the terms:
(1 + 3x)(6 + x) = 56

Multiply (1 + 3x) * (6 + x)
(1(6 + x) + 3x * (6 + x)) = 56
((6 * 1 + x * 1) + 3x * (6 + x)) = 56
((6 + 1x) + 3x * (6 + x)) = 56
(6 + 1x + (6 * 3x + x * 3x)) = 56
(6 + 1x + (18x + 3x2)) = 56

Combine like terms: 1x + 18x = 19x
(6 + 19x + 3x2) = 56

Solving
6 + 19x + 3x2 = 56

Solving for variable 'x'.

Reorder the terms:
6 + -56 + 19x + 3x2 = 56 + -56

Combine like terms: 6 + -56 = -50
-50 + 19x + 3x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-50 + 19x + 3x2 = 0

Factor a trinomial.
(-25 + -3x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-25 + -3x)' equal to zero and attempt to solve:

Simplifying
-25 + -3x = 0

Solving
-25 + -3x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -3x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -3x = 0 + 25
-3x = 0 + 25

Combine like terms: 0 + 25 = 25
-3x = 25

Divide each side by '-3'.
x = -8.333333333

Simplifying
x = -8.333333333
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-8.333333333, 2}