3x^2+11x+6=(3x+2)

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Solution for 3x^2+11x+6=(3x+2) equation: 


Simplifying
3x2 + 11x + 6 = (3x + 2)

Reorder the terms:
6 + 11x + 3x2 = (3x + 2)

Reorder the terms:
6 + 11x + 3x2 = (2 + 3x)

Remove parenthesis around (2 + 3x)
6 + 11x + 3x2 = 2 + 3x

Solving
6 + 11x + 3x2 = 2 + 3x

Solving for variable 'x'.

Reorder the terms:
6 + -2 + 11x + -3x + 3x2 = 2 + 3x + -2 + -3x

Combine like terms: 6 + -2 = 4
4 + 11x + -3x + 3x2 = 2 + 3x + -2 + -3x

Combine like terms: 11x + -3x = 8x
4 + 8x + 3x2 = 2 + 3x + -2 + -3x

Reorder the terms:
4 + 8x + 3x2 = 2 + -2 + 3x + -3x

Combine like terms: 2 + -2 = 0
4 + 8x + 3x2 = 0 + 3x + -3x
4 + 8x + 3x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 8x + 3x2 = 0

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


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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2

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

Simplifying
2 + 3x = 0

Solving
2 + 3x = 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 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-2, -0.6666666667}

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