(2x^2-6x+7)-(4x^2+x-9)+(5x^2+3x-8)=

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Solution for (2x^2-6x+7)-(4x^2+x-9)+(5x^2+3x-8)= equation: 


Simplifying
(2x2 + -6x + 7) + -1(4x2 + x + -9) + (5x2 + 3x + -8) = 0

Reorder the terms:
(7 + -6x + 2x2) + -1(4x2 + x + -9) + (5x2 + 3x + -8) = 0

Remove parenthesis around (7 + -6x + 2x2)
7 + -6x + 2x2 + -1(4x2 + x + -9) + (5x2 + 3x + -8) = 0

Reorder the terms:
7 + -6x + 2x2 + -1(-9 + x + 4x2) + (5x2 + 3x + -8) = 0
7 + -6x + 2x2 + (-9 * -1 + x * -1 + 4x2 * -1) + (5x2 + 3x + -8) = 0
7 + -6x + 2x2 + (9 + -1x + -4x2) + (5x2 + 3x + -8) = 0

Reorder the terms:
7 + -6x + 2x2 + 9 + -1x + -4x2 + (-8 + 3x + 5x2) = 0

Remove parenthesis around (-8 + 3x + 5x2)
7 + -6x + 2x2 + 9 + -1x + -4x2 + -8 + 3x + 5x2 = 0

Reorder the terms:
7 + 9 + -8 + -6x + -1x + 3x + 2x2 + -4x2 + 5x2 = 0

Combine like terms: 7 + 9 = 16
16 + -8 + -6x + -1x + 3x + 2x2 + -4x2 + 5x2 = 0

Combine like terms: 16 + -8 = 8
8 + -6x + -1x + 3x + 2x2 + -4x2 + 5x2 = 0

Combine like terms: -6x + -1x = -7x
8 + -7x + 3x + 2x2 + -4x2 + 5x2 = 0

Combine like terms: -7x + 3x = -4x
8 + -4x + 2x2 + -4x2 + 5x2 = 0

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

Combine like terms: -2x2 + 5x2 = 3x2
8 + -4x + 3x2 = 0

Solving
8 + -4x + 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 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -1.333333333x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -1.333333333x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -2.666666667
-1.333333333x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-1.333333333x + x2 = -2.666666667

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -2.666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -2.666666667 + 0.4444444442

Combine like terms: -2.666666667 + 0.4444444442 = -2.2222222228
0.4444444442 + -1.333333333x + x2 = -2.2222222228

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -2.2222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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