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

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


Simplifying
(6x6 + 5x3 + -7) + (9x6 + -9x3 + 9) = 0

Reorder the terms:
(-7 + 5x3 + 6x6) + (9x6 + -9x3 + 9) = 0

Remove parenthesis around (-7 + 5x3 + 6x6)
-7 + 5x3 + 6x6 + (9x6 + -9x3 + 9) = 0

Reorder the terms:
-7 + 5x3 + 6x6 + (9 + -9x3 + 9x6) = 0

Remove parenthesis around (9 + -9x3 + 9x6)
-7 + 5x3 + 6x6 + 9 + -9x3 + 9x6 = 0

Reorder the terms:
-7 + 9 + 5x3 + -9x3 + 6x6 + 9x6 = 0

Combine like terms: -7 + 9 = 2
2 + 5x3 + -9x3 + 6x6 + 9x6 = 0

Combine like terms: 5x3 + -9x3 = -4x3
2 + -4x3 + 6x6 + 9x6 = 0

Combine like terms: 6x6 + 9x6 = 15x6
2 + -4x3 + 15x6 = 0

Solving
2 + -4x3 + 15x6 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
0.1333333333 + -0.2666666667x3 + x6 = 0

Move the constant term to the right:

Add '-0.1333333333' to each side of the equation.
0.1333333333 + -0.2666666667x3 + -0.1333333333 + x6 = 0 + -0.1333333333

Reorder the terms:
0.1333333333 + -0.1333333333 + -0.2666666667x3 + x6 = 0 + -0.1333333333

Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000
0.0000000000 + -0.2666666667x3 + x6 = 0 + -0.1333333333
-0.2666666667x3 + x6 = 0 + -0.1333333333

Combine like terms: 0 + -0.1333333333 = -0.1333333333
-0.2666666667x3 + x6 = -0.1333333333

The x term is -0.2666666667x3.  Take half its coefficient (-0.1333333334).
Square it (0.01777777780) and add it to both sides.

Add '0.01777777780' to each side of the equation.
-0.2666666667x3 + 0.01777777780 + x6 = -0.1333333333 + 0.01777777780

Reorder the terms:
0.01777777780 + -0.2666666667x3 + x6 = -0.1333333333 + 0.01777777780

Combine like terms: -0.1333333333 + 0.01777777780 = -0.1155555555
0.01777777780 + -0.2666666667x3 + x6 = -0.1155555555

Factor a perfect square on the left side:
(x3 + -0.1333333334)(x3 + -0.1333333334) = -0.1155555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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