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

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


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

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

Reorder the terms:
6x + -2 + -7x + -7x2 + 2(-7 + -1x2) = 0
6x + -2 + -7x + -7x2 + (-7 * 2 + -1x2 * 2) = 0
6x + -2 + -7x + -7x2 + (-14 + -2x2) = 0

Reorder the terms:
-2 + -14 + 6x + -7x + -7x2 + -2x2 = 0

Combine like terms: -2 + -14 = -16
-16 + 6x + -7x + -7x2 + -2x2 = 0

Combine like terms: 6x + -7x = -1x
-16 + -1x + -7x2 + -2x2 = 0

Combine like terms: -7x2 + -2x2 = -9x2
-16 + -1x + -9x2 = 0

Solving
-16 + -1x + -9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + x + 9x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(16 + x + 9x2)' equal to zero and attempt to solve:

Simplifying
16 + x + 9x2 = 0

Solving
16 + x + 9x2 = 0

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

Divide each side by '9'.
1.777777778 + 0.1111111111x + x2 = 0

Move the constant term to the right:

Add '-1.777777778' to each side of the equation.
1.777777778 + 0.1111111111x + -1.777777778 + x2 = 0 + -1.777777778

Reorder the terms:
1.777777778 + -1.777777778 + 0.1111111111x + x2 = 0 + -1.777777778

Combine like terms: 1.777777778 + -1.777777778 = 0.000000000
0.000000000 + 0.1111111111x + x2 = 0 + -1.777777778
0.1111111111x + x2 = 0 + -1.777777778

Combine like terms: 0 + -1.777777778 = -1.777777778
0.1111111111x + x2 = -1.777777778

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.
0.1111111111x + 0.25 + x2 = -1.777777778 + 0.25

Reorder the terms:
0.25 + 0.1111111111x + x2 = -1.777777778 + 0.25

Combine like terms: -1.777777778 + 0.25 = -1.527777778
0.25 + 0.1111111111x + x2 = -1.527777778

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.527777778

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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