t=sqrt(3y^2-5)fory

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Solution for t=sqrt(3y^2-5)fory equation: 


Simplifying
t = sqrt(3y2 + -5) * fory

Reorder the terms:
t = qrst(-5 + 3y2) * fory

Reorder the terms for easier multiplication:
t = qrst * fory(-5 + 3y2)

Multiply qrst * fory
t = foqr2sty(-5 + 3y2)
t = (-5 * foqr2sty + 3y2 * foqr2sty)
t = (-5foqr2sty + 3foqr2sty3)

Solving
t = -5foqr2sty + 3foqr2sty3

Solving for variable 't'.

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

Add '5foqr2sty' to each side of the equation.
5foqr2sty + t = -5foqr2sty + 5foqr2sty + 3foqr2sty3

Combine like terms: -5foqr2sty + 5foqr2sty = 0
5foqr2sty + t = 0 + 3foqr2sty3
5foqr2sty + t = 3foqr2sty3

Add '-3foqr2sty3' to each side of the equation.
5foqr2sty + -3foqr2sty3 + t = 3foqr2sty3 + -3foqr2sty3

Combine like terms: 3foqr2sty3 + -3foqr2sty3 = 0
5foqr2sty + -3foqr2sty3 + t = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(5foqr2sy + -3foqr2sy3 + 1) = 0


Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0

Subproblem 2
Set the factor '(5foqr2sy + -3foqr2sy3 + 1)' equal to zero and attempt to solve:

Simplifying
5foqr2sy + -3foqr2sy3 + 1 = 0

Reorder the terms:
1 + 5foqr2sy + -3foqr2sy3 = 0

Solving
1 + 5foqr2sy + -3foqr2sy3 = 0

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

Add '-1' to each side of the equation.
1 + 5foqr2sy + -1 + -3foqr2sy3 = 0 + -1

Reorder the terms:
1 + -1 + 5foqr2sy + -3foqr2sy3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5foqr2sy + -3foqr2sy3 = 0 + -1
5foqr2sy + -3foqr2sy3 = 0 + -1

Combine like terms: 0 + -1 = -1
5foqr2sy + -3foqr2sy3 = -1

Add '-5foqr2sy' to each side of the equation.
5foqr2sy + -5foqr2sy + -3foqr2sy3 = -1 + -5foqr2sy

Combine like terms: 5foqr2sy + -5foqr2sy = 0
0 + -3foqr2sy3 = -1 + -5foqr2sy
-3foqr2sy3 = -1 + -5foqr2sy

Add '3foqr2sy3' to each side of the equation.
-3foqr2sy3 + 3foqr2sy3 = -1 + -5foqr2sy + 3foqr2sy3

Combine like terms: -3foqr2sy3 + 3foqr2sy3 = 0
0 = -1 + -5foqr2sy + 3foqr2sy3

Simplifying
0 = -1 + -5foqr2sy + 3foqr2sy3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
t = {0}

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