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

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


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

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

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

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

Reorder the terms:
2 + 4 + -1x + -4x + 7x2 + -1x2 = 0

Combine like terms: 2 + 4 = 6
6 + -1x + -4x + 7x2 + -1x2 = 0

Combine like terms: -1x + -4x = -5x
6 + -5x + 7x2 + -1x2 = 0

Combine like terms: 7x2 + -1x2 = 6x2
6 + -5x + 6x2 = 0

Solving
6 + -5x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
1 + -0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.8333333333x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.8333333333x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.8333333333x + x2 = 0 + -1
-0.8333333333x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.8333333333x + x2 = -1

The x term is -0.8333333333x.  Take half its coefficient (-0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
-0.8333333333x + 0.1736111111 + x2 = -1 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333x + x2 = -1 + 0.1736111111

Combine like terms: -1 + 0.1736111111 = -0.8263888889
0.1736111111 + -0.8333333333x + x2 = -0.8263888889

Factor a perfect square on the left side:
(x + -0.4166666667)(x + -0.4166666667) = -0.8263888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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