Sqrt(2)*(x^4-1)=3x*(x^2-1)

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Solution for Sqrt(2)*(x^4-1)=3x*(x^2-1) equation:


Simplifying
Sqrt(2)(x4 + -1) = 3x(x2 + -1)

Reorder the terms:
qrtS * 2(-1 + x4) = 3x(x2 + -1)

Reorder the terms for easier multiplication:
2qrtS(-1 + x4) = 3x(x2 + -1)
(-1 * 2qrtS + x4 * 2qrtS) = 3x(x2 + -1)
(-2qrtS + 2qrtx4S) = 3x(x2 + -1)

Reorder the terms:
-2qrtS + 2qrtx4S = 3x(-1 + x2)
-2qrtS + 2qrtx4S = (-1 * 3x + x2 * 3x)
-2qrtS + 2qrtx4S = (-3x + 3x3)

Solving
-2qrtS + 2qrtx4S = -3x + 3x3

Solving for variable 'q'.

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

Reorder the terms:
-2qrtS + 2qrtx4S + 3x + -3x3 = -3x + 3x + 3x3 + -3x3

Combine like terms: -3x + 3x = 0
-2qrtS + 2qrtx4S + 3x + -3x3 = 0 + 3x3 + -3x3
-2qrtS + 2qrtx4S + 3x + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-2qrtS + 2qrtx4S + 3x + -3x3 = 0

The solution to this equation could not be determined.

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