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

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


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

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

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

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

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

Combine like terms: 5 + 3 = 8
8 + -2x + 4x + 5x2 + -2x2 = 0

Combine like terms: -2x + 4x = 2x
8 + 2x + 5x2 + -2x2 = 0

Combine like terms: 5x2 + -2x2 = 3x2
8 + 2x + 3x2 = 0

Solving
8 + 2x + 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'.
2.666666667 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 0.6666666667x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 0.6666666667x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 0.6666666667x + x2 = 0 + -2.666666667
0.6666666667x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
0.6666666667x + x2 = -2.666666667

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -2.666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -2.666666667 + 0.1111111112

Combine like terms: -2.666666667 + 0.1111111112 = -2.5555555558
0.1111111112 + 0.6666666667x + x2 = -2.5555555558

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -2.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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