(7x^2-5x+6)-(4x^2+x-2)=

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Solution for (7x^2-5x+6)-(4x^2+x-2)= equation: 


Simplifying
(7x2 + -5x + 6) + -1(4x2 + x + -2) = 0

Reorder the terms:
(6 + -5x + 7x2) + -1(4x2 + x + -2) = 0

Remove parenthesis around (6 + -5x + 7x2)
6 + -5x + 7x2 + -1(4x2 + x + -2) = 0

Reorder the terms:
6 + -5x + 7x2 + -1(-2 + x + 4x2) = 0
6 + -5x + 7x2 + (-2 * -1 + x * -1 + 4x2 * -1) = 0
6 + -5x + 7x2 + (2 + -1x + -4x2) = 0

Reorder the terms:
6 + 2 + -5x + -1x + 7x2 + -4x2 = 0

Combine like terms: 6 + 2 = 8
8 + -5x + -1x + 7x2 + -4x2 = 0

Combine like terms: -5x + -1x = -6x
8 + -6x + 7x2 + -4x2 = 0

Combine like terms: 7x2 + -4x2 = 3x2
8 + -6x + 3x2 = 0

Solving
8 + -6x + 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'.
2.666666667 + -2x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -2x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -2x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -2x + x2 = 0 + -2.666666667
-2x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-2x + x2 = -2.666666667

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 = -2.666666667 + 1

Reorder the terms:
1 + -2x + x2 = -2.666666667 + 1

Combine like terms: -2.666666667 + 1 = -1.666666667
1 + -2x + x2 = -1.666666667

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1.666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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