(x+3)(x+3)-(3x-1)(3x-1)=x^3+4

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Solution for (x+3)(x+3)-(3x-1)(3x-1)=x^3+4 equation: 


Simplifying
(x + 3)(x + 3) + -1(3x + -1)(3x + -1) = x3 + 4

Reorder the terms:
(3 + x)(x + 3) + -1(3x + -1)(3x + -1) = x3 + 4

Reorder the terms:
(3 + x)(3 + x) + -1(3x + -1)(3x + -1) = x3 + 4

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) + -1(3x + -1)(3x + -1) = x3 + 4
((3 * 3 + x * 3) + x(3 + x)) + -1(3x + -1)(3x + -1) = x3 + 4
((9 + 3x) + x(3 + x)) + -1(3x + -1)(3x + -1) = x3 + 4
(9 + 3x + (3 * x + x * x)) + -1(3x + -1)(3x + -1) = x3 + 4
(9 + 3x + (3x + x2)) + -1(3x + -1)(3x + -1) = x3 + 4

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) + -1(3x + -1)(3x + -1) = x3 + 4

Reorder the terms:
9 + 6x + x2 + -1(-1 + 3x)(3x + -1) = x3 + 4

Reorder the terms:
9 + 6x + x2 + -1(-1 + 3x)(-1 + 3x) = x3 + 4

Multiply (-1 + 3x) * (-1 + 3x)
9 + 6x + x2 + -1(-1(-1 + 3x) + 3x * (-1 + 3x)) = x3 + 4
9 + 6x + x2 + -1((-1 * -1 + 3x * -1) + 3x * (-1 + 3x)) = x3 + 4
9 + 6x + x2 + -1((1 + -3x) + 3x * (-1 + 3x)) = x3 + 4
9 + 6x + x2 + -1(1 + -3x + (-1 * 3x + 3x * 3x)) = x3 + 4
9 + 6x + x2 + -1(1 + -3x + (-3x + 9x2)) = x3 + 4

Combine like terms: -3x + -3x = -6x
9 + 6x + x2 + -1(1 + -6x + 9x2) = x3 + 4
9 + 6x + x2 + (1 * -1 + -6x * -1 + 9x2 * -1) = x3 + 4
9 + 6x + x2 + (-1 + 6x + -9x2) = x3 + 4

Reorder the terms:
9 + -1 + 6x + 6x + x2 + -9x2 = x3 + 4

Combine like terms: 9 + -1 = 8
8 + 6x + 6x + x2 + -9x2 = x3 + 4

Combine like terms: 6x + 6x = 12x
8 + 12x + x2 + -9x2 = x3 + 4

Combine like terms: x2 + -9x2 = -8x2
8 + 12x + -8x2 = x3 + 4

Reorder the terms:
8 + 12x + -8x2 = 4 + x3

Solving
8 + 12x + -8x2 = 4 + x3

Solving for variable 'x'.

Reorder the terms:
8 + -4 + 12x + -8x2 + -1x3 = 4 + x3 + -4 + -1x3

Combine like terms: 8 + -4 = 4
4 + 12x + -8x2 + -1x3 = 4 + x3 + -4 + -1x3

Reorder the terms:
4 + 12x + -8x2 + -1x3 = 4 + -4 + x3 + -1x3

Combine like terms: 4 + -4 = 0
4 + 12x + -8x2 + -1x3 = 0 + x3 + -1x3
4 + 12x + -8x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
4 + 12x + -8x2 + -1x3 = 0

The solution to this equation could not be determined.

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