(9x^8+12x^4y^4+16y^8)(3x^4-4y^4)=

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Solution for (9x^8+12x^4y^4+16y^8)(3x^4-4y^4)= equation:


Simplifying
(9x8 + 12x4y4 + 16y8)(3x4 + -4y4) = 0

Reorder the terms:
(12x4y4 + 9x8 + 16y8)(3x4 + -4y4) = 0

Multiply (12x4y4 + 9x8 + 16y8) * (3x4 + -4y4)
(12x4y4 * (3x4 + -4y4) + 9x8 * (3x4 + -4y4) + 16y8 * (3x4 + -4y4)) = 0
((3x4 * 12x4y4 + -4y4 * 12x4y4) + 9x8 * (3x4 + -4y4) + 16y8 * (3x4 + -4y4)) = 0

Reorder the terms:
((-48x4y8 + 36x8y4) + 9x8 * (3x4 + -4y4) + 16y8 * (3x4 + -4y4)) = 0
((-48x4y8 + 36x8y4) + 9x8 * (3x4 + -4y4) + 16y8 * (3x4 + -4y4)) = 0
(-48x4y8 + 36x8y4 + (3x4 * 9x8 + -4y4 * 9x8) + 16y8 * (3x4 + -4y4)) = 0

Reorder the terms:
(-48x4y8 + 36x8y4 + (-36x8y4 + 27x12) + 16y8 * (3x4 + -4y4)) = 0
(-48x4y8 + 36x8y4 + (-36x8y4 + 27x12) + 16y8 * (3x4 + -4y4)) = 0
(-48x4y8 + 36x8y4 + -36x8y4 + 27x12 + (3x4 * 16y8 + -4y4 * 16y8)) = 0
(-48x4y8 + 36x8y4 + -36x8y4 + 27x12 + (48x4y8 + -64y12)) = 0

Reorder the terms:
(-48x4y8 + 48x4y8 + 36x8y4 + -36x8y4 + 27x12 + -64y12) = 0

Combine like terms: -48x4y8 + 48x4y8 = 0
(0 + 36x8y4 + -36x8y4 + 27x12 + -64y12) = 0
(36x8y4 + -36x8y4 + 27x12 + -64y12) = 0

Combine like terms: 36x8y4 + -36x8y4 = 0
(0 + 27x12 + -64y12) = 0
(27x12 + -64y12) = 0

Solving
27x12 + -64y12 = 0

Solving for variable 'x'.

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

Add '64y12' to each side of the equation.
27x12 + -64y12 + 64y12 = 0 + 64y12

Combine like terms: -64y12 + 64y12 = 0
27x12 + 0 = 0 + 64y12
27x12 = 0 + 64y12
Remove the zero:
27x12 = 64y12

Divide each side by '27'.
x12 = 2.37037037y12

Simplifying
x12 = 2.37037037y12

Combine like terms: 2.37037037y12 + -2.37037037y12 = 0.00000000
x12 + -2.37037037y12 = 0.00000000

The solution to this equation could not be determined.

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