3x(3x-2)+7=0

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Solution for 3x(3x-2)+7=0 equation: 


Simplifying
3x(3x + -2) + 7 = 0

Reorder the terms:
3x(-2 + 3x) + 7 = 0
(-2 * 3x + 3x * 3x) + 7 = 0
(-6x + 9x2) + 7 = 0

Reorder the terms:
7 + -6x + 9x2 = 0

Solving
7 + -6x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
0.7777777778 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.7777777778' to each side of the equation.
0.7777777778 + -0.6666666667x + -0.7777777778 + x2 = 0 + -0.7777777778

Reorder the terms:
0.7777777778 + -0.7777777778 + -0.6666666667x + x2 = 0 + -0.7777777778

Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000
0.0000000000 + -0.6666666667x + x2 = 0 + -0.7777777778
-0.6666666667x + x2 = 0 + -0.7777777778

Combine like terms: 0 + -0.7777777778 = -0.7777777778
-0.6666666667x + x2 = -0.7777777778

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 = -0.7777777778 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.7777777778 + 0.1111111112

Combine like terms: -0.7777777778 + 0.1111111112 = -0.6666666666
0.1111111112 + -0.6666666667x + x2 = -0.6666666666

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.6666666666

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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