3(1-x^2)+24y^3(x^2-1)=

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Solution for 3(1-x^2)+24y^3(x^2-1)= equation: 


Simplifying
3(1 + -1x2) + 24y3(x2 + -1) = 0
(1 * 3 + -1x2 * 3) + 24y3(x2 + -1) = 0
(3 + -3x2) + 24y3(x2 + -1) = 0

Reorder the terms:
3 + -3x2 + 24y3(-1 + x2) = 0
3 + -3x2 + (-1 * 24y3 + x2 * 24y3) = 0

Reorder the terms:
3 + -3x2 + (24x2y3 + -24y3) = 0
3 + -3x2 + (24x2y3 + -24y3) = 0

Solving
3 + -3x2 + 24x2y3 + -24y3 = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3x2 + 24x2y3 + -3 + -24y3 = 0 + -3

Reorder the terms:
3 + -3 + -3x2 + 24x2y3 + -24y3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3x2 + 24x2y3 + -24y3 = 0 + -3
-3x2 + 24x2y3 + -24y3 = 0 + -3

Combine like terms: 0 + -3 = -3
-3x2 + 24x2y3 + -24y3 = -3

Add '24y3' to each side of the equation.
-3x2 + 24x2y3 + -24y3 + 24y3 = -3 + 24y3

Combine like terms: -24y3 + 24y3 = 0
-3x2 + 24x2y3 + 0 = -3 + 24y3
-3x2 + 24x2y3 = -3 + 24y3

Reorder the terms:
3 + -3x2 + 24x2y3 + -24y3 = -3 + 24y3 + 3 + -24y3

Reorder the terms:
3 + -3x2 + 24x2y3 + -24y3 = -3 + 3 + 24y3 + -24y3

Combine like terms: -3 + 3 = 0
3 + -3x2 + 24x2y3 + -24y3 = 0 + 24y3 + -24y3
3 + -3x2 + 24x2y3 + -24y3 = 24y3 + -24y3

Combine like terms: 24y3 + -24y3 = 0
3 + -3x2 + 24x2y3 + -24y3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -1x2 + 8x2y3 + -8y3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(1 + -1x2 + 8x2y3 + -8y3)' equal to zero and attempt to solve:

Simplifying
1 + -1x2 + 8x2y3 + -8y3 = 0

Solving
1 + -1x2 + 8x2y3 + -8y3 = 0

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

Add '-1' to each side of the equation.
1 + -1x2 + 8x2y3 + -1 + -8y3 = 0 + -1

Reorder the terms:
1 + -1 + -1x2 + 8x2y3 + -8y3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x2 + 8x2y3 + -8y3 = 0 + -1
-1x2 + 8x2y3 + -8y3 = 0 + -1

Combine like terms: 0 + -1 = -1
-1x2 + 8x2y3 + -8y3 = -1

Add '8y3' to each side of the equation.
-1x2 + 8x2y3 + -8y3 + 8y3 = -1 + 8y3

Combine like terms: -8y3 + 8y3 = 0
-1x2 + 8x2y3 + 0 = -1 + 8y3
-1x2 + 8x2y3 = -1 + 8y3

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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