(7x^2-8x+4)-(4x^2+2x-6)=

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Solution for (7x^2-8x+4)-(4x^2+2x-6)= equation: 


Simplifying
(7x2 + -8x + 4) + -1(4x2 + 2x + -6) = 0

Reorder the terms:
(4 + -8x + 7x2) + -1(4x2 + 2x + -6) = 0

Remove parenthesis around (4 + -8x + 7x2)
4 + -8x + 7x2 + -1(4x2 + 2x + -6) = 0

Reorder the terms:
4 + -8x + 7x2 + -1(-6 + 2x + 4x2) = 0
4 + -8x + 7x2 + (-6 * -1 + 2x * -1 + 4x2 * -1) = 0
4 + -8x + 7x2 + (6 + -2x + -4x2) = 0

Reorder the terms:
4 + 6 + -8x + -2x + 7x2 + -4x2 = 0

Combine like terms: 4 + 6 = 10
10 + -8x + -2x + 7x2 + -4x2 = 0

Combine like terms: -8x + -2x = -10x
10 + -10x + 7x2 + -4x2 = 0

Combine like terms: 7x2 + -4x2 = 3x2
10 + -10x + 3x2 = 0

Solving
10 + -10x + 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'.
3.333333333 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -3.333333333x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -3.333333333x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -3.333333333x + x2 = 0 + -3.333333333
-3.333333333x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-3.333333333x + x2 = -3.333333333

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -3.333333333 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -3.333333333 + 2.777777779

Combine like terms: -3.333333333 + 2.777777779 = -0.555555554
2.777777779 + -3.333333333x + x2 = -0.555555554

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -0.555555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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