3x(3x+2)=3x-4

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


Simplifying
3x(3x + 2) = 3x + -4

Reorder the terms:
3x(2 + 3x) = 3x + -4
(2 * 3x + 3x * 3x) = 3x + -4
(6x + 9x2) = 3x + -4

Reorder the terms:
6x + 9x2 = -4 + 3x

Solving
6x + 9x2 = -4 + 3x

Solving for variable 'x'.

Reorder the terms:
4 + 6x + -3x + 9x2 = -4 + 3x + 4 + -3x

Combine like terms: 6x + -3x = 3x
4 + 3x + 9x2 = -4 + 3x + 4 + -3x

Reorder the terms:
4 + 3x + 9x2 = -4 + 4 + 3x + -3x

Combine like terms: -4 + 4 = 0
4 + 3x + 9x2 = 0 + 3x + -3x
4 + 3x + 9x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 3x + 9x2 = 0

Begin completing the square.  Divide all terms by
9 the coefficient of the squared term: 

Divide each side by '9'.
0.4444444444 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + 0.3333333333x + -0.4444444444 + x2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + 0.3333333333x + x2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + 0.3333333333x + x2 = 0 + -0.4444444444
0.3333333333x + x2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
0.3333333333x + x2 = -0.4444444444

The x term is 0.3333333333x.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333x + 0.02777777779 + x2 = -0.4444444444 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -0.4444444444 + 0.02777777779

Combine like terms: -0.4444444444 + 0.02777777779 = -0.41666666661
0.02777777779 + 0.3333333333x + x2 = -0.41666666661

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -0.41666666661

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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