(-3x^2+5x-2)-(-2x^2+7-1)=

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Solution for (-3x^2+5x-2)-(-2x^2+7-1)= equation: 


Simplifying
(-3x2 + 5x + -2) + -1(-2x2 + 7 + -1) = 0

Reorder the terms:
(-2 + 5x + -3x2) + -1(-2x2 + 7 + -1) = 0

Remove parenthesis around (-2 + 5x + -3x2)
-2 + 5x + -3x2 + -1(-2x2 + 7 + -1) = 0

Reorder the terms:
-2 + 5x + -3x2 + -1(7 + -1 + -2x2) = 0

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

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

Combine like terms: -2 + -6 = -8
-8 + 5x + -3x2 + 2x2 = 0

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

Solving
-8 + 5x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
8 + -5x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -5x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -5x + x2 = 0 + -8

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

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

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -8 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -8 + 6.25

Combine like terms: -8 + 6.25 = -1.75
6.25 + -5x + x2 = -1.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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