(5x^2-3x+1)-(2x^2-4x-6)=

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Solution for (5x^2-3x+1)-(2x^2-4x-6)= equation: 


Simplifying
(5x2 + -3x + 1) + -1(2x2 + -4x + -6) = 0

Reorder the terms:
(1 + -3x + 5x2) + -1(2x2 + -4x + -6) = 0

Remove parenthesis around (1 + -3x + 5x2)
1 + -3x + 5x2 + -1(2x2 + -4x + -6) = 0

Reorder the terms:
1 + -3x + 5x2 + -1(-6 + -4x + 2x2) = 0
1 + -3x + 5x2 + (-6 * -1 + -4x * -1 + 2x2 * -1) = 0
1 + -3x + 5x2 + (6 + 4x + -2x2) = 0

Reorder the terms:
1 + 6 + -3x + 4x + 5x2 + -2x2 = 0

Combine like terms: 1 + 6 = 7
7 + -3x + 4x + 5x2 + -2x2 = 0

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

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

Solving
7 + 1x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
2.333333333 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + 0.3333333333x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + 0.3333333333x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + 0.3333333333x + x2 = 0 + -2.333333333
0.3333333333x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
0.3333333333x + x2 = -2.333333333

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 = -2.333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -2.333333333 + 0.02777777779

Combine like terms: -2.333333333 + 0.02777777779 = -2.30555555521
0.02777777779 + 0.3333333333x + x2 = -2.30555555521

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -2.30555555521

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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