(3x^2+5)(3x^2+5)+2x(x+13)+33=0

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Solution for (3x^2+5)(3x^2+5)+2x(x+13)+33=0 equation: 


Simplifying
(3x2 + 5)(3x2 + 5) + 2x(x + 13) + 33 = 0

Reorder the terms:
(5 + 3x2)(3x2 + 5) + 2x(x + 13) + 33 = 0

Reorder the terms:
(5 + 3x2)(5 + 3x2) + 2x(x + 13) + 33 = 0

Multiply (5 + 3x2) * (5 + 3x2)
(5(5 + 3x2) + 3x2 * (5 + 3x2)) + 2x(x + 13) + 33 = 0
((5 * 5 + 3x2 * 5) + 3x2 * (5 + 3x2)) + 2x(x + 13) + 33 = 0
((25 + 15x2) + 3x2 * (5 + 3x2)) + 2x(x + 13) + 33 = 0
(25 + 15x2 + (5 * 3x2 + 3x2 * 3x2)) + 2x(x + 13) + 33 = 0
(25 + 15x2 + (15x2 + 9x4)) + 2x(x + 13) + 33 = 0

Combine like terms: 15x2 + 15x2 = 30x2
(25 + 30x2 + 9x4) + 2x(x + 13) + 33 = 0

Reorder the terms:
25 + 30x2 + 9x4 + 2x(13 + x) + 33 = 0
25 + 30x2 + 9x4 + (13 * 2x + x * 2x) + 33 = 0
25 + 30x2 + 9x4 + (26x + 2x2) + 33 = 0

Reorder the terms:
25 + 33 + 26x + 30x2 + 2x2 + 9x4 = 0

Combine like terms: 25 + 33 = 58
58 + 26x + 30x2 + 2x2 + 9x4 = 0

Combine like terms: 30x2 + 2x2 = 32x2
58 + 26x + 32x2 + 9x4 = 0

Solving
58 + 26x + 32x2 + 9x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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