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

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


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

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

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

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

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

Combine like terms: 3 + 5 = 8
8 + -5x + -4x + 2x2 + 1x2 = 0

Combine like terms: -5x + -4x = -9x
8 + -9x + 2x2 + 1x2 = 0

Combine like terms: 2x2 + 1x2 = 3x2
8 + -9x + 3x2 = 0

Solving
8 + -9x + 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 + -3x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -3x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -3x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -3x + x2 = 0 + -2.666666667
-3x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-3x + x2 = -2.666666667

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -2.666666667 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -2.666666667 + 2.25

Combine like terms: -2.666666667 + 2.25 = -0.416666667
2.25 + -3x + x2 = -0.416666667

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -0.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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