(3x^2-3x+11)-(x-8)=

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Solution for (3x^2-3x+11)-(x-8)= equation: 


Simplifying
(3x2 + -3x + 11) + -1(x + -8) = 0

Reorder the terms:
(11 + -3x + 3x2) + -1(x + -8) = 0

Remove parenthesis around (11 + -3x + 3x2)
11 + -3x + 3x2 + -1(x + -8) = 0

Reorder the terms:
11 + -3x + 3x2 + -1(-8 + x) = 0
11 + -3x + 3x2 + (-8 * -1 + x * -1) = 0
11 + -3x + 3x2 + (8 + -1x) = 0

Reorder the terms:
11 + 8 + -3x + -1x + 3x2 = 0

Combine like terms: 11 + 8 = 19
19 + -3x + -1x + 3x2 = 0

Combine like terms: -3x + -1x = -4x
19 + -4x + 3x2 = 0

Solving
19 + -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'.
6.333333333 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-6.333333333' to each side of the equation.
6.333333333 + -1.333333333x + -6.333333333 + x2 = 0 + -6.333333333

Reorder the terms:
6.333333333 + -6.333333333 + -1.333333333x + x2 = 0 + -6.333333333

Combine like terms: 6.333333333 + -6.333333333 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -6.333333333
-1.333333333x + x2 = 0 + -6.333333333

Combine like terms: 0 + -6.333333333 = -6.333333333
-1.333333333x + x2 = -6.333333333

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 = -6.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -6.333333333 + 0.4444444442

Combine like terms: -6.333333333 + 0.4444444442 = -5.8888888888
0.4444444442 + -1.333333333x + x2 = -5.8888888888

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -5.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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