3.7x^2-8.1x+5.9=-6.4x+0.3

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Solution for 3.7x^2-8.1x+5.9=-6.4x+0.3 equation:


Simplifying
3.7x2 + -8.1x + 5.9 = -6.4x + 0.3

Reorder the terms:
5.9 + -8.1x + 3.7x2 = -6.4x + 0.3

Reorder the terms:
5.9 + -8.1x + 3.7x2 = 0.3 + -6.4x

Solving
5.9 + -8.1x + 3.7x2 = 0.3 + -6.4x

Solving for variable 'x'.

Reorder the terms:
5.9 + -0.3 + -8.1x + 6.4x + 3.7x2 = 0.3 + -6.4x + -0.3 + 6.4x

Combine like terms: 5.9 + -0.3 = 5.6
5.6 + -8.1x + 6.4x + 3.7x2 = 0.3 + -6.4x + -0.3 + 6.4x

Combine like terms: -8.1x + 6.4x = -1.7x
5.6 + -1.7x + 3.7x2 = 0.3 + -6.4x + -0.3 + 6.4x

Reorder the terms:
5.6 + -1.7x + 3.7x2 = 0.3 + -0.3 + -6.4x + 6.4x

Combine like terms: 0.3 + -0.3 = 0.0
5.6 + -1.7x + 3.7x2 = 0.0 + -6.4x + 6.4x
5.6 + -1.7x + 3.7x2 = -6.4x + 6.4x

Combine like terms: -6.4x + 6.4x = 0.0
5.6 + -1.7x + 3.7x2 = 0.0

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

Divide each side by '3.7'.
1.513513514 + -0.4594594595x + x2 = 0

Move the constant term to the right:

Add '-1.513513514' to each side of the equation.
1.513513514 + -0.4594594595x + -1.513513514 + x2 = 0 + -1.513513514

Reorder the terms:
1.513513514 + -1.513513514 + -0.4594594595x + x2 = 0 + -1.513513514

Combine like terms: 1.513513514 + -1.513513514 = 0.000000000
0.000000000 + -0.4594594595x + x2 = 0 + -1.513513514
-0.4594594595x + x2 = 0 + -1.513513514

Combine like terms: 0 + -1.513513514 = -1.513513514
-0.4594594595x + x2 = -1.513513514

The x term is -0.4594594595x.  Take half its coefficient (-0.2297297298).
Square it (0.05277574875) and add it to both sides.

Add '0.05277574875' to each side of the equation.
-0.4594594595x + 0.05277574875 + x2 = -1.513513514 + 0.05277574875

Reorder the terms:
0.05277574875 + -0.4594594595x + x2 = -1.513513514 + 0.05277574875

Combine like terms: -1.513513514 + 0.05277574875 = -1.46073776525
0.05277574875 + -0.4594594595x + x2 = -1.46073776525

Factor a perfect square on the left side:
(x + -0.2297297298)(x + -0.2297297298) = -1.46073776525

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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