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

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

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

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

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

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

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

Solving
56 = 6 + 19x + 3x2

Solving for variable 'x'.

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

Reorder the terms:
50 + -19x + -3x2 = 6 + -6 + 19x + -19x + 3x2 + -3x2

Combine like terms: 6 + -6 = 0
50 + -19x + -3x2 = 0 + 19x + -19x + 3x2 + -3x2
50 + -19x + -3x2 = 19x + -19x + 3x2 + -3x2

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

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

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

Subproblem 1
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
Subproblem 2
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
Solution
x = {2, -8.333333333}