3x(3x-2)=-2

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


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

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

Solving
-6x + 9x2 = -2

Solving for variable 'x'.

Reorder the terms:
2 + -6x + 9x2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -6x + 9x2 = 0

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

Divide each side by '9'.
0.2222222222 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.2222222222' to each side of the equation.
0.2222222222 + -0.6666666667x + -0.2222222222 + x2 = 0 + -0.2222222222

Reorder the terms:
0.2222222222 + -0.2222222222 + -0.6666666667x + x2 = 0 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + -0.6666666667x + x2 = 0 + -0.2222222222
-0.6666666667x + x2 = 0 + -0.2222222222

Combine like terms: 0 + -0.2222222222 = -0.2222222222
-0.6666666667x + x2 = -0.2222222222

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -0.2222222222 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.2222222222 + 0.1111111112

Combine like terms: -0.2222222222 + 0.1111111112 = -0.111111111
0.1111111112 + -0.6666666667x + x2 = -0.111111111

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.111111111

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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