3(sqrt(y^2+3))=2(sqrt(y^3-12))

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Solution for 3(sqrt(y^2+3))=2(sqrt(y^3-12)) equation: 


Simplifying
3(sqrt(y2 + 3)) = 2(sqrt(y3 + -12))

Reorder the terms:
3(qrst(3 + y2)) = 2(sqrt(y3 + -12))
3((3 * qrst + y2 * qrst)) = 2(sqrt(y3 + -12))
3((3qrst + qrsty2)) = 2(sqrt(y3 + -12))
(3qrst * 3 + qrsty2 * 3) = 2(sqrt(y3 + -12))
(9qrst + 3qrsty2) = 2(sqrt(y3 + -12))

Reorder the terms:
9qrst + 3qrsty2 = 2(qrst(-12 + y3))
9qrst + 3qrsty2 = 2((-12 * qrst + y3 * qrst))
9qrst + 3qrsty2 = 2((-12qrst + qrsty3))
9qrst + 3qrsty2 = (-12qrst * 2 + qrsty3 * 2)
9qrst + 3qrsty2 = (-24qrst + 2qrsty3)

Solving
9qrst + 3qrsty2 = -24qrst + 2qrsty3

Solving for variable 'q'.

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

Add '24qrst' to each side of the equation.
9qrst + 24qrst + 3qrsty2 = -24qrst + 24qrst + 2qrsty3

Combine like terms: 9qrst + 24qrst = 33qrst
33qrst + 3qrsty2 = -24qrst + 24qrst + 2qrsty3

Combine like terms: -24qrst + 24qrst = 0
33qrst + 3qrsty2 = 0 + 2qrsty3
33qrst + 3qrsty2 = 2qrsty3

Add '-2qrsty3' to each side of the equation.
33qrst + 3qrsty2 + -2qrsty3 = 2qrsty3 + -2qrsty3

Combine like terms: 2qrsty3 + -2qrsty3 = 0
33qrst + 3qrsty2 + -2qrsty3 = 0

Factor out the Greatest Common Factor (GCF), 'qrst'.
qrst(33 + 3y2 + -2y3) = 0


Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve:

Simplifying
qrst = 0

Solving
qrst = 0

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

Simplifying
qrst = 0

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 '(33 + 3y2 + -2y3)' equal to zero and attempt to solve:

Simplifying
33 + 3y2 + -2y3 = 0

Solving
33 + 3y2 + -2y3 = 0

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

Add '-33' to each side of the equation.
33 + 3y2 + -33 + -2y3 = 0 + -33

Reorder the terms:
33 + -33 + 3y2 + -2y3 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 3y2 + -2y3 = 0 + -33
3y2 + -2y3 = 0 + -33

Combine like terms: 0 + -33 = -33
3y2 + -2y3 = -33

Add '-3y2' to each side of the equation.
3y2 + -3y2 + -2y3 = -33 + -3y2

Combine like terms: 3y2 + -3y2 = 0
0 + -2y3 = -33 + -3y2
-2y3 = -33 + -3y2

Add '2y3' to each side of the equation.
-2y3 + 2y3 = -33 + -3y2 + 2y3

Combine like terms: -2y3 + 2y3 = 0
0 = -33 + -3y2 + 2y3

Simplifying
0 = -33 + -3y2 + 2y3

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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