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

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


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

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

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

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

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

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

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

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

Solving
7 + 2x + 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'.
3.5 + x + x2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x + x2 = 0 + -3.5
x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
x + x2 = -3.5

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -3.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -3.5 + 0.25

Combine like terms: -3.5 + 0.25 = -3.25
1.25 + x2 = -3.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -3.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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