(1.1x^2+2.6x-6.4)-(5.2x^2+4.8x+13.4)=

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Solution for (1.1x^2+2.6x-6.4)-(5.2x^2+4.8x+13.4)= equation: 


Simplifying
(1.1x2 + 2.6x + -6.4) + -1(5.2x2 + 4.8x + 13.4) = 0

Reorder the terms:
(-6.4 + 2.6x + 1.1x2) + -1(5.2x2 + 4.8x + 13.4) = 0

Remove parenthesis around (-6.4 + 2.6x + 1.1x2)
-6.4 + 2.6x + 1.1x2 + -1(5.2x2 + 4.8x + 13.4) = 0

Reorder the terms:
-6.4 + 2.6x + 1.1x2 + -1(13.4 + 4.8x + 5.2x2) = 0
-6.4 + 2.6x + 1.1x2 + (13.4 * -1 + 4.8x * -1 + 5.2x2 * -1) = 0
-6.4 + 2.6x + 1.1x2 + (-13.4 + -4.8x + -5.2x2) = 0

Reorder the terms:
-6.4 + -13.4 + 2.6x + -4.8x + 1.1x2 + -5.2x2 = 0

Combine like terms: -6.4 + -13.4 = -19.8
-19.8 + 2.6x + -4.8x + 1.1x2 + -5.2x2 = 0

Combine like terms: 2.6x + -4.8x = -2.2x
-19.8 + -2.2x + 1.1x2 + -5.2x2 = 0

Combine like terms: 1.1x2 + -5.2x2 = -4.1x2
-19.8 + -2.2x + -4.1x2 = 0

Solving
-19.8 + -2.2x + -4.1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-4.1 the coefficient of the squared term: 

Divide each side by '-4.1'.
4.829268293 + 0.5365853659x + x2 = 0

Move the constant term to the right:

Add '-4.829268293' to each side of the equation.
4.829268293 + 0.5365853659x + -4.829268293 + x2 = 0 + -4.829268293

Reorder the terms:
4.829268293 + -4.829268293 + 0.5365853659x + x2 = 0 + -4.829268293

Combine like terms: 4.829268293 + -4.829268293 = 0.000000000
0.000000000 + 0.5365853659x + x2 = 0 + -4.829268293
0.5365853659x + x2 = 0 + -4.829268293

Combine like terms: 0 + -4.829268293 = -4.829268293
0.5365853659x + x2 = -4.829268293

The x term is 0.5365853659x.  Take half its coefficient (0.268292683).
Square it (0.07198096375) and add it to both sides.

Add '0.07198096375' to each side of the equation.
0.5365853659x + 0.07198096375 + x2 = -4.829268293 + 0.07198096375

Reorder the terms:
0.07198096375 + 0.5365853659x + x2 = -4.829268293 + 0.07198096375

Combine like terms: -4.829268293 + 0.07198096375 = -4.75728732925
0.07198096375 + 0.5365853659x + x2 = -4.75728732925

Factor a perfect square on the left side:
(x + 0.268292683)(x + 0.268292683) = -4.75728732925

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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