(x^2+6x-2)+(-8x^2-3x+1)+(x^2-x-7)=

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Solution for (x^2+6x-2)+(-8x^2-3x+1)+(x^2-x-7)= equation: 


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

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

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

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

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

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

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

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

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

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

Combine like terms: 6x + -3x = 3x
-8 + 3x + -1x + x2 + -8x2 + x2 = 0

Combine like terms: 3x + -1x = 2x
-8 + 2x + x2 + -8x2 + x2 = 0

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

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

Solving
-8 + 2x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + x + -3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + x + -3x2)' equal to zero and attempt to solve:

Simplifying
-4 + x + -3x2 = 0

Solving
-4 + x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
1.333333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.3333333333x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.3333333333x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + -1.333333333
-0.3333333333x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.3333333333x + x2 = -1.333333333

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.3333333333x + 0.25 + x2 = -1.333333333 + 0.25

Reorder the terms:
0.25 + -0.3333333333x + x2 = -1.333333333 + 0.25

Combine like terms: -1.333333333 + 0.25 = -1.083333333
0.25 + -0.3333333333x + x2 = -1.083333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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