X^2(x^3-2)=-5x^5+2x^2(6x^2-1)

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Solution for X^2(x^3-2)=-5x^5+2x^2(6x^2-1) equation:


Simplifying
X2(x3 + -2) = -5x5 + 2x2(6x2 + -1)

Reorder the terms:
X2(-2 + x3) = -5x5 + 2x2(6x2 + -1)
(-2 * X2 + x3 * X2) = -5x5 + 2x2(6x2 + -1)
(-2X2 + x3X2) = -5x5 + 2x2(6x2 + -1)

Reorder the terms:
-2X2 + x3X2 = -5x5 + 2x2(-1 + 6x2)
-2X2 + x3X2 = -5x5 + (-1 * 2x2 + 6x2 * 2x2)
-2X2 + x3X2 = -5x5 + (-2x2 + 12x4)

Reorder the terms:
-2X2 + x3X2 = -2x2 + 12x4 + -5x5

Solving
-2X2 + x3X2 = -2x2 + 12x4 + -5x5

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Reorder the terms:
-2X2 + 2x2 + x3X2 + -12x4 + 5x5 = -2x2 + 12x4 + -5x5 + 2x2 + -12x4 + 5x5

Reorder the terms:
-2X2 + 2x2 + x3X2 + -12x4 + 5x5 = -2x2 + 2x2 + 12x4 + -12x4 + -5x5 + 5x5

Combine like terms: -2x2 + 2x2 = 0
-2X2 + 2x2 + x3X2 + -12x4 + 5x5 = 0 + 12x4 + -12x4 + -5x5 + 5x5
-2X2 + 2x2 + x3X2 + -12x4 + 5x5 = 12x4 + -12x4 + -5x5 + 5x5

Combine like terms: 12x4 + -12x4 = 0
-2X2 + 2x2 + x3X2 + -12x4 + 5x5 = 0 + -5x5 + 5x5
-2X2 + 2x2 + x3X2 + -12x4 + 5x5 = -5x5 + 5x5

Combine like terms: -5x5 + 5x5 = 0
-2X2 + 2x2 + x3X2 + -12x4 + 5x5 = 0

The solution to this equation could not be determined.

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