32t^4-162y^4=0

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Solution for 32t^4-162y^4=0 equation: 


Simplifying
32t4 + -162y4 = 0

Solving
32t4 + -162y4 = 0

Solving for variable 't'.

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

Add '162y4' to each side of the equation.
32t4 + -162y4 + 162y4 = 0 + 162y4

Combine like terms: -162y4 + 162y4 = 0
32t4 + 0 = 0 + 162y4
32t4 = 0 + 162y4
Remove the zero:
32t4 = 162y4

Divide each side by '32'.
t4 = 5.0625y4

Simplifying
t4 = 5.0625y4

Combine like terms: 5.0625y4 + -5.0625y4 = 0.0000
t4 + -5.0625y4 = 0.0000

Factor a difference between two squares.
(t2 + 2.25y2)(t2 + -2.25y2) = 0.0000

Factor a difference between two squares.
(t2 + 2.25y2)((t + 1.5y)(t + -1.5y)) = 0.0000


Subproblem 1
Set the factor '(t2 + 2.25y2)' equal to zero and attempt to solve:

Simplifying
t2 + 2.25y2 = 0

Solving
t2 + 2.25y2 = 0

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

Add '-2.25y2' to each side of the equation.
t2 + 2.25y2 + -2.25y2 = 0 + -2.25y2

Combine like terms: 2.25y2 + -2.25y2 = 0.00
t2 + 0.00 = 0 + -2.25y2
t2 = 0 + -2.25y2
Remove the zero:
t2 = -2.25y2

Simplifying
t2 = -2.25y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(t + 1.5y)' equal to zero and attempt to solve:

Simplifying
t + 1.5y = 0

Solving
t + 1.5y = 0

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

Add '-1.5y' to each side of the equation.
t + 1.5y + -1.5y = 0 + -1.5y

Combine like terms: 1.5y + -1.5y = 0.0
t + 0.0 = 0 + -1.5y
t = 0 + -1.5y
Remove the zero:
t = -1.5y

Simplifying
t = -1.5y

Subproblem 3
Set the factor '(t + -1.5y)' equal to zero and attempt to solve:

Simplifying
t + -1.5y = 0

Solving
t + -1.5y = 0

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

Add '1.5y' to each side of the equation.
t + -1.5y + 1.5y = 0 + 1.5y

Combine like terms: -1.5y + 1.5y = 0.0
t + 0.0 = 0 + 1.5y
t = 0 + 1.5y
Remove the zero:
t = 1.5y

Simplifying
t = 1.5y
Solution
t = {-1.5y, 1.5y}

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