(11x+56)=3x(x+8)

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Solution for (11x+56)=3x(x+8) equation: 


Simplifying
(11x + 56) = 3x(x + 8)

Reorder the terms:
(56 + 11x) = 3x(x + 8)

Remove parenthesis around (56 + 11x)
56 + 11x = 3x(x + 8)

Reorder the terms:
56 + 11x = 3x(8 + x)
56 + 11x = (8 * 3x + x * 3x)
56 + 11x = (24x + 3x2)

Solving
56 + 11x = 24x + 3x2

Solving for variable 'x'.

Combine like terms: 11x + -24x = -13x
56 + -13x + -3x2 = 24x + 3x2 + -24x + -3x2

Reorder the terms:
56 + -13x + -3x2 = 24x + -24x + 3x2 + -3x2

Combine like terms: 24x + -24x = 0
56 + -13x + -3x2 = 0 + 3x2 + -3x2
56 + -13x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
56 + -13x + -3x2 = 0

Factor a trinomial.
(8 + -3x)(7 + x) = 0


Subproblem 1
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {2.666666667, -7}

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