1-3x^6+6+7x^3+5x^6-3x^3=

Solution for 1-3x^6+6+7x^3+5x^6-3x^3= equation:

Simplifying
1 + -3x6 + 6 + 7x3 + 5x6 + -3x3 = 0

Reorder the terms:
1 + 6 + 7x3 + -3x3 + -3x6 + 5x6 = 0

Combine like terms: 1 + 6 = 7
7 + 7x3 + -3x3 + -3x6 + 5x6 = 0

Combine like terms: 7x3 + -3x3 = 4x3
7 + 4x3 + -3x6 + 5x6 = 0

Combine like terms: -3x6 + 5x6 = 2x6
7 + 4x3 + 2x6 = 0

Solving
7 + 4x3 + 2x6 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
3.5 + 2x3 + x6 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + 2x3 + -3.5 + x6 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + 2x3 + x6 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 2x3 + x6 = 0 + -3.5
2x3 + x6 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
2x3 + x6 = -3.5

The x term is 2x3.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x3 + 1 + x6 = -3.5 + 1

Reorder the terms:
1 + 2x3 + x6 = -3.5 + 1

Combine like terms: -3.5 + 1 = -2.5
1 + 2x3 + x6 = -2.5

Factor a perfect square on the left side:
(x3 + 1)(x3 + 1) = -2.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.