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

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


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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: -4 + 4 = 0
4 + 6x + 9x2 = 0 + 3x + -3x
4 + 6x + 9x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 6x + 9x2 = 0

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

Divide each side by '9'.
0.4444444444 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + 0.6666666667x + -0.4444444444 + x2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + 0.6666666667x + x2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + 0.6666666667x + x2 = 0 + -0.4444444444
0.6666666667x + x2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
0.6666666667x + x2 = -0.4444444444

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 = -0.4444444444 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -0.4444444444 + 0.1111111112

Combine like terms: -0.4444444444 + 0.1111111112 = -0.3333333332
0.1111111112 + 0.6666666667x + x2 = -0.3333333332

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -0.3333333332

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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