.8x(4-12x)-13x=16

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Solution for .8x(4-12x)-13x=16 equation: 


Simplifying
0.8x(4 + -12x) + -13x = 16
(4 * 0.8x + -12x * 0.8x) + -13x = 16
(3.2x + -9.6x2) + -13x = 16

Reorder the terms:
3.2x + -13x + -9.6x2 = 16

Combine like terms: 3.2x + -13x = -9.8x
-9.8x + -9.6x2 = 16

Solving
-9.8x + -9.6x2 = 16

Solving for variable 'x'.

Reorder the terms:
-16 + -9.8x + -9.6x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + -9.8x + -9.6x2 = 0

Begin completing the square.  Divide all terms by
-9.6 the coefficient of the squared term: 

Divide each side by '-9.6'.
1.666666667 + 1.020833333x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + 1.020833333x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + 1.020833333x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + 1.020833333x + x2 = 0 + -1.666666667
1.020833333x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
1.020833333x + x2 = -1.666666667

The x term is 1.020833333x.  Take half its coefficient (0.5104166665).
Square it (0.2605251734) and add it to both sides.

Add '0.2605251734' to each side of the equation.
1.020833333x + 0.2605251734 + x2 = -1.666666667 + 0.2605251734

Reorder the terms:
0.2605251734 + 1.020833333x + x2 = -1.666666667 + 0.2605251734

Combine like terms: -1.666666667 + 0.2605251734 = -1.4061414936
0.2605251734 + 1.020833333x + x2 = -1.4061414936

Factor a perfect square on the left side:
(x + 0.5104166665)(x + 0.5104166665) = -1.4061414936

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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