9x^2=-4x-2

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


Simplifying
9x2 = -4x + -2

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

Solving
9x2 = -2 + -4x

Solving for variable 'x'.

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

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

Combine like terms: -2 + 2 = 0
2 + 4x + 9x2 = 0 + -4x + 4x
2 + 4x + 9x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 4x + 9x2 = 0

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

Divide each side by '9'.
0.2222222222 + 0.4444444444x + x2 = 0

Move the constant term to the right:

Add '-0.2222222222' to each side of the equation.
0.2222222222 + 0.4444444444x + -0.2222222222 + x2 = 0 + -0.2222222222

Reorder the terms:
0.2222222222 + -0.2222222222 + 0.4444444444x + x2 = 0 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + 0.4444444444x + x2 = 0 + -0.2222222222
0.4444444444x + x2 = 0 + -0.2222222222

Combine like terms: 0 + -0.2222222222 = -0.2222222222
0.4444444444x + x2 = -0.2222222222

The x term is 0.4444444444x.  Take half its coefficient (0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
0.4444444444x + 0.04938271604 + x2 = -0.2222222222 + 0.04938271604

Reorder the terms:
0.04938271604 + 0.4444444444x + x2 = -0.2222222222 + 0.04938271604

Combine like terms: -0.2222222222 + 0.04938271604 = -0.17283950616
0.04938271604 + 0.4444444444x + x2 = -0.17283950616

Factor a perfect square on the left side:
(x + 0.2222222222)(x + 0.2222222222) = -0.17283950616

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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