6x^2(x^2-1)-16(x^2-1)x+10(x^2-1)=0

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Solution for 6x^2(x^2-1)-16(x^2-1)x+10(x^2-1)=0 equation:


Simplifying
6x2(x2 + -1) + -16(x2 + -1) * x + 10(x2 + -1) = 0

Reorder the terms:
6x2(-1 + x2) + -16(x2 + -1) * x + 10(x2 + -1) = 0
(-1 * 6x2 + x2 * 6x2) + -16(x2 + -1) * x + 10(x2 + -1) = 0
(-6x2 + 6x4) + -16(x2 + -1) * x + 10(x2 + -1) = 0

Reorder the terms:
-6x2 + 6x4 + -16(-1 + x2) * x + 10(x2 + -1) = 0

Reorder the terms for easier multiplication:
-6x2 + 6x4 + -16x(-1 + x2) + 10(x2 + -1) = 0
-6x2 + 6x4 + (-1 * -16x + x2 * -16x) + 10(x2 + -1) = 0
-6x2 + 6x4 + (16x + -16x3) + 10(x2 + -1) = 0

Reorder the terms:
-6x2 + 6x4 + 16x + -16x3 + 10(-1 + x2) = 0
-6x2 + 6x4 + 16x + -16x3 + (-1 * 10 + x2 * 10) = 0
-6x2 + 6x4 + 16x + -16x3 + (-10 + 10x2) = 0

Reorder the terms:
-10 + 16x + -6x2 + 10x2 + -16x3 + 6x4 = 0

Combine like terms: -6x2 + 10x2 = 4x2
-10 + 16x + 4x2 + -16x3 + 6x4 = 0

Solving
-10 + 16x + 4x2 + -16x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 8x + 2x2 + -8x3 + 3x4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + 8x + 2x2 + -8x3 + 3x4)' equal to zero and attempt to solve: Simplifying -5 + 8x + 2x2 + -8x3 + 3x4 = 0 Solving -5 + 8x + 2x2 + -8x3 + 3x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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