(x^2-12y^6)(x^2-12y^6)=

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Solution for (x^2-12y^6)(x^2-12y^6)= equation: 


Simplifying
(x2 + -12y6)(x2 + -12y6) = 0

Multiply (x2 + -12y6) * (x2 + -12y6)
(x2(x2 + -12y6) + -12y6 * (x2 + -12y6)) = 0
((x2 * x2 + -12y6 * x2) + -12y6 * (x2 + -12y6)) = 0

Reorder the terms:
((-12x2y6 + x4) + -12y6 * (x2 + -12y6)) = 0
((-12x2y6 + x4) + -12y6 * (x2 + -12y6)) = 0
(-12x2y6 + x4 + (x2 * -12y6 + -12y6 * -12y6)) = 0
(-12x2y6 + x4 + (-12x2y6 + 144y12)) = 0

Reorder the terms:
(-12x2y6 + -12x2y6 + x4 + 144y12) = 0

Combine like terms: -12x2y6 + -12x2y6 = -24x2y6
(-24x2y6 + x4 + 144y12) = 0

Solving
-24x2y6 + x4 + 144y12 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + -12y6)(x2 + -12y6) = 0


Subproblem 1
Set the factor '(x2 + -12y6)' equal to zero and attempt to solve:

Simplifying
x2 + -12y6 = 0

Solving
x2 + -12y6 = 0

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

Add '12y6' to each side of the equation.
x2 + -12y6 + 12y6 = 0 + 12y6

Combine like terms: -12y6 + 12y6 = 0
x2 + 0 = 0 + 12y6
x2 = 0 + 12y6
Remove the zero:
x2 = 12y6

Simplifying
x2 = 12y6

Take the square root of each side:
x = {-3.464101615y3, 3.464101615y3}

Subproblem 2
Set the factor '(x2 + -12y6)' equal to zero and attempt to solve:

Simplifying
x2 + -12y6 = 0

Solving
x2 + -12y6 = 0

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

Add '12y6' to each side of the equation.
x2 + -12y6 + 12y6 = 0 + 12y6

Combine like terms: -12y6 + 12y6 = 0
x2 + 0 = 0 + 12y6
x2 = 0 + 12y6
Remove the zero:
x2 = 12y6

Simplifying
x2 = 12y6

Take the square root of each side:
x = {-3.464101615y3, 3.464101615y3}
Solution
x = {-3.464101615y3, 3.464101615y3, -3.464101615y3, 3.464101615y3}

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