3x^2(2x^4+4y^8)=0

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Solution for 3x^2(2x^4+4y^8)=0 equation:


Simplifying
3x2(2x4 + 4y8) = 0
(2x4 * 3x2 + 4y8 * 3x2) = 0

Reorder the terms:
(12x2y8 + 6x6) = 0
(12x2y8 + 6x6) = 0

Solving
12x2y8 + 6x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(2y8 + x4) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(2y8 + x4)' equal to zero and attempt to solve: Simplifying 2y8 + x4 = 0 Reorder the terms: x4 + 2y8 = 0 Solving x4 + 2y8 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y8' to each side of the equation. x4 + 2y8 + -2y8 = 0 + -2y8 Combine like terms: 2y8 + -2y8 = 0 x4 + 0 = 0 + -2y8 x4 = 0 + -2y8 Remove the zero: x4 = -2y8 Simplifying x4 = -2y8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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