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

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


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

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

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

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

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

Combine like terms: 5 + 6 = 11
11 + -3x + -1x + 4x2 + -2x2 = 0

Combine like terms: -3x + -1x = -4x
11 + -4x + 4x2 + -2x2 = 0

Combine like terms: 4x2 + -2x2 = 2x2
11 + -4x + 2x2 = 0

Solving
11 + -4x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
5.5 + -2x + x2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -2x + -5.5 + x2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -2x + x2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -2x + x2 = 0 + -5.5
-2x + x2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-2x + x2 = -5.5

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -5.5 + 1

Reorder the terms:
1 + -2x + x2 = -5.5 + 1

Combine like terms: -5.5 + 1 = -4.5
1 + -2x + x2 = -4.5

Factor a perfect square on the left side:
(x + -1)(x + -1) = -4.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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