(5x^2-6x+3)+(4x^2+5x-4)-(3x^2+x-8)=

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Solution for (5x^2-6x+3)+(4x^2+5x-4)-(3x^2+x-8)= equation: 


Simplifying
(5x2 + -6x + 3) + (4x2 + 5x + -4) + -1(3x2 + x + -8) = 0

Reorder the terms:
(3 + -6x + 5x2) + (4x2 + 5x + -4) + -1(3x2 + x + -8) = 0

Remove parenthesis around (3 + -6x + 5x2)
3 + -6x + 5x2 + (4x2 + 5x + -4) + -1(3x2 + x + -8) = 0

Reorder the terms:
3 + -6x + 5x2 + (-4 + 5x + 4x2) + -1(3x2 + x + -8) = 0

Remove parenthesis around (-4 + 5x + 4x2)
3 + -6x + 5x2 + -4 + 5x + 4x2 + -1(3x2 + x + -8) = 0

Reorder the terms:
3 + -6x + 5x2 + -4 + 5x + 4x2 + -1(-8 + x + 3x2) = 0
3 + -6x + 5x2 + -4 + 5x + 4x2 + (-8 * -1 + x * -1 + 3x2 * -1) = 0
3 + -6x + 5x2 + -4 + 5x + 4x2 + (8 + -1x + -3x2) = 0

Reorder the terms:
3 + -4 + 8 + -6x + 5x + -1x + 5x2 + 4x2 + -3x2 = 0

Combine like terms: 3 + -4 = -1
-1 + 8 + -6x + 5x + -1x + 5x2 + 4x2 + -3x2 = 0

Combine like terms: -1 + 8 = 7
7 + -6x + 5x + -1x + 5x2 + 4x2 + -3x2 = 0

Combine like terms: -6x + 5x = -1x
7 + -1x + -1x + 5x2 + 4x2 + -3x2 = 0

Combine like terms: -1x + -1x = -2x
7 + -2x + 5x2 + 4x2 + -3x2 = 0

Combine like terms: 5x2 + 4x2 = 9x2
7 + -2x + 9x2 + -3x2 = 0

Combine like terms: 9x2 + -3x2 = 6x2
7 + -2x + 6x2 = 0

Solving
7 + -2x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
1.166666667 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + -0.3333333333x + -1.166666667 + x2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + -0.3333333333x + x2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + -1.166666667
-0.3333333333x + x2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
-0.3333333333x + x2 = -1.166666667

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -1.166666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -1.166666667 + 0.02777777779

Combine like terms: -1.166666667 + 0.02777777779 = -1.13888888921
0.02777777779 + -0.3333333333x + x2 = -1.13888888921

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -1.13888888921

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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