3.8x(-1-9.7x)=2.6+13.3x

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Solution for 3.8x(-1-9.7x)=2.6+13.3x equation:


Simplifying
3.8x(-1 + -9.7x) = 2.6 + 13.3x
(-1 * 3.8x + -9.7x * 3.8x) = 2.6 + 13.3x
(-3.8x + -36.86x2) = 2.6 + 13.3x

Solving
-3.8x + -36.86x2 = 2.6 + 13.3x

Solving for variable 'x'.

Reorder the terms:
-2.6 + -3.8x + -13.3x + -36.86x2 = 2.6 + 13.3x + -2.6 + -13.3x

Combine like terms: -3.8x + -13.3x = -17.1x
-2.6 + -17.1x + -36.86x2 = 2.6 + 13.3x + -2.6 + -13.3x

Reorder the terms:
-2.6 + -17.1x + -36.86x2 = 2.6 + -2.6 + 13.3x + -13.3x

Combine like terms: 2.6 + -2.6 = 0.0
-2.6 + -17.1x + -36.86x2 = 0.0 + 13.3x + -13.3x
-2.6 + -17.1x + -36.86x2 = 13.3x + -13.3x

Combine like terms: 13.3x + -13.3x = 0.0
-2.6 + -17.1x + -36.86x2 = 0.0

Begin completing the square.  Divide all terms by
-36.86 the coefficient of the squared term: 

Divide each side by '-36.86'.
0.07053716766 + 0.4639175258x + x2 = 0

Move the constant term to the right:

Add '-0.07053716766' to each side of the equation.
0.07053716766 + 0.4639175258x + -0.07053716766 + x2 = 0 + -0.07053716766

Reorder the terms:
0.07053716766 + -0.07053716766 + 0.4639175258x + x2 = 0 + -0.07053716766

Combine like terms: 0.07053716766 + -0.07053716766 = 0.00000000000
0.00000000000 + 0.4639175258x + x2 = 0 + -0.07053716766
0.4639175258x + x2 = 0 + -0.07053716766

Combine like terms: 0 + -0.07053716766 = -0.07053716766
0.4639175258x + x2 = -0.07053716766

The x term is 0.4639175258x.  Take half its coefficient (0.2319587629).
Square it (0.05380486769) and add it to both sides.

Add '0.05380486769' to each side of the equation.
0.4639175258x + 0.05380486769 + x2 = -0.07053716766 + 0.05380486769

Reorder the terms:
0.05380486769 + 0.4639175258x + x2 = -0.07053716766 + 0.05380486769

Combine like terms: -0.07053716766 + 0.05380486769 = -0.01673229997
0.05380486769 + 0.4639175258x + x2 = -0.01673229997

Factor a perfect square on the left side:
(x + 0.2319587629)(x + 0.2319587629) = -0.01673229997

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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