3x^2+9x+4=2x-2

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Solution for 3x^2+9x+4=2x-2 equation: 


Simplifying
3x2 + 9x + 4 = 2x + -2

Reorder the terms:
4 + 9x + 3x2 = 2x + -2

Reorder the terms:
4 + 9x + 3x2 = -2 + 2x

Solving
4 + 9x + 3x2 = -2 + 2x

Solving for variable 'x'.

Reorder the terms:
4 + 2 + 9x + -2x + 3x2 = -2 + 2x + 2 + -2x

Combine like terms: 4 + 2 = 6
6 + 9x + -2x + 3x2 = -2 + 2x + 2 + -2x

Combine like terms: 9x + -2x = 7x
6 + 7x + 3x2 = -2 + 2x + 2 + -2x

Reorder the terms:
6 + 7x + 3x2 = -2 + 2 + 2x + -2x

Combine like terms: -2 + 2 = 0
6 + 7x + 3x2 = 0 + 2x + -2x
6 + 7x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 7x + 3x2 = 0

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

Divide each side by '3'.
2 + 2.333333333x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 2.333333333x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 2.333333333x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2.333333333x + x2 = 0 + -2
2.333333333x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
2.333333333x + x2 = -2

The x term is 2.333333333x.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333x + 1.361111112 + x2 = -2 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333x + x2 = -2 + 1.361111112

Combine like terms: -2 + 1.361111112 = -0.638888888
1.361111112 + 2.333333333x + x2 = -0.638888888

Factor a perfect square on the left side:
(x + 1.166666667)(x + 1.166666667) = -0.638888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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