11x+8=(x+2)(3x+4)

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Solution for 11x+8=(x+2)(3x+4) equation: 


Simplifying
11x + 8 = (x + 2)(3x + 4)

Reorder the terms:
8 + 11x = (x + 2)(3x + 4)

Reorder the terms:
8 + 11x = (2 + x)(3x + 4)

Reorder the terms:
8 + 11x = (2 + x)(4 + 3x)

Multiply (2 + x) * (4 + 3x)
8 + 11x = (2(4 + 3x) + x(4 + 3x))
8 + 11x = ((4 * 2 + 3x * 2) + x(4 + 3x))
8 + 11x = ((8 + 6x) + x(4 + 3x))
8 + 11x = (8 + 6x + (4 * x + 3x * x))
8 + 11x = (8 + 6x + (4x + 3x2))

Combine like terms: 6x + 4x = 10x
8 + 11x = (8 + 10x + 3x2)

Add '-8' to each side of the equation.
8 + -8 + 11x = 8 + 10x + -8 + 3x2

Combine like terms: 8 + -8 = 0
0 + 11x = 8 + 10x + -8 + 3x2
11x = 8 + 10x + -8 + 3x2

Reorder the terms:
11x = 8 + -8 + 10x + 3x2

Combine like terms: 8 + -8 = 0
11x = 0 + 10x + 3x2
11x = 10x + 3x2

Solving
11x = 10x + 3x2

Solving for variable 'x'.

Combine like terms: 11x + -10x = 1x
1x + -3x2 = 10x + 3x2 + -10x + -3x2

Reorder the terms:
1x + -3x2 = 10x + -10x + 3x2 + -3x2

Combine like terms: 10x + -10x = 0
1x + -3x2 = 0 + 3x2 + -3x2
1x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
1x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -3x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {0, 0.3333333333}

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