(2z^4-3y)(2z^4-3y)=

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Solution for (2z^4-3y)(2z^4-3y)= equation: 


Simplifying
(2z4 + -3y)(2z4 + -3y) = 0

Reorder the terms:
(-3y + 2z4)(2z4 + -3y) = 0

Reorder the terms:
(-3y + 2z4)(-3y + 2z4) = 0

Multiply (-3y + 2z4) * (-3y + 2z4)
(-3y * (-3y + 2z4) + 2z4 * (-3y + 2z4)) = 0
((-3y * -3y + 2z4 * -3y) + 2z4 * (-3y + 2z4)) = 0

Reorder the terms:
((-6yz4 + 9y2) + 2z4 * (-3y + 2z4)) = 0
((-6yz4 + 9y2) + 2z4 * (-3y + 2z4)) = 0
(-6yz4 + 9y2 + (-3y * 2z4 + 2z4 * 2z4)) = 0
(-6yz4 + 9y2 + (-6yz4 + 4z8)) = 0

Reorder the terms:
(-6yz4 + -6yz4 + 9y2 + 4z8) = 0

Combine like terms: -6yz4 + -6yz4 = -12yz4
(-12yz4 + 9y2 + 4z8) = 0

Solving
-12yz4 + 9y2 + 4z8 = 0

Solving for variable 'y'.

Factor a trinomial.
(3y + -2z4)(3y + -2z4) = 0


Subproblem 1
Set the factor '(3y + -2z4)' equal to zero and attempt to solve:

Simplifying
3y + -2z4 = 0

Solving
3y + -2z4 = 0

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

Add '2z4' to each side of the equation.
3y + -2z4 + 2z4 = 0 + 2z4

Combine like terms: -2z4 + 2z4 = 0
3y + 0 = 0 + 2z4
3y = 0 + 2z4
Remove the zero:
3y = 2z4

Divide each side by '3'.
y = 0.6666666667z4

Simplifying
y = 0.6666666667z4

Subproblem 2
Set the factor '(3y + -2z4)' equal to zero and attempt to solve:

Simplifying
3y + -2z4 = 0

Solving
3y + -2z4 = 0

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

Add '2z4' to each side of the equation.
3y + -2z4 + 2z4 = 0 + 2z4

Combine like terms: -2z4 + 2z4 = 0
3y + 0 = 0 + 2z4
3y = 0 + 2z4
Remove the zero:
3y = 2z4

Divide each side by '3'.
y = 0.6666666667z4

Simplifying
y = 0.6666666667z4
Solution
y = {0.6666666667z4, 0.6666666667z4}

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