1.5x^2+2x+3.2=0

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Solution for 1.5x^2+2x+3.2=0 equation: 


Simplifying
1.5x2 + 2x + 3.2 = 0

Reorder the terms:
3.2 + 2x + 1.5x2 = 0

Solving
3.2 + 2x + 1.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '1.5'.
2.133333333 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-2.133333333' to each side of the equation.
2.133333333 + 1.333333333x + -2.133333333 + x2 = 0 + -2.133333333

Reorder the terms:
2.133333333 + -2.133333333 + 1.333333333x + x2 = 0 + -2.133333333

Combine like terms: 2.133333333 + -2.133333333 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -2.133333333
1.333333333x + x2 = 0 + -2.133333333

Combine like terms: 0 + -2.133333333 = -2.133333333
1.333333333x + x2 = -2.133333333

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -2.133333333 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -2.133333333 + 0.4444444442

Combine like terms: -2.133333333 + 0.4444444442 = -1.6888888888
0.4444444442 + 1.333333333x + x2 = -1.6888888888

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -1.6888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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