sqr(3sqr(x+1))=sqr(3x-5)

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Solution for sqr(3sqr(x+1))=sqr(3x-5) equation:


Simplifying
sqr(3sqr(x + 1)) = sqr(3x + -5)

Reorder the terms:
qrs(3qrs(1 + x)) = sqr(3x + -5)
qrs((1 * 3qrs + x * 3qrs)) = sqr(3x + -5)
qrs((3qrs + 3qrsx)) = sqr(3x + -5)
(3qrs * qrs + 3qrsx * qrs) = sqr(3x + -5)
(3q2r2s2 + 3q2r2s2x) = sqr(3x + -5)

Reorder the terms:
3q2r2s2 + 3q2r2s2x = qrs(-5 + 3x)
3q2r2s2 + 3q2r2s2x = (-5 * qrs + 3x * qrs)
3q2r2s2 + 3q2r2s2x = (-5qrs + 3qrsx)

Solving
3q2r2s2 + 3q2r2s2x = -5qrs + 3qrsx

Solving for variable 'q'.

Reorder the terms:
5qrs + -3qrsx + 3q2r2s2 + 3q2r2s2x = -5qrs + 3qrsx + 5qrs + -3qrsx

Reorder the terms:
5qrs + -3qrsx + 3q2r2s2 + 3q2r2s2x = -5qrs + 5qrs + 3qrsx + -3qrsx

Combine like terms: -5qrs + 5qrs = 0
5qrs + -3qrsx + 3q2r2s2 + 3q2r2s2x = 0 + 3qrsx + -3qrsx
5qrs + -3qrsx + 3q2r2s2 + 3q2r2s2x = 3qrsx + -3qrsx

Combine like terms: 3qrsx + -3qrsx = 0
5qrs + -3qrsx + 3q2r2s2 + 3q2r2s2x = 0

Factor out the Greatest Common Factor (GCF), 'qrs'.
qrs(5 + -3x + 3qrs + 3qrsx) = 0


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

Simplifying
qrs = 0

Solving
qrs = 0

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

Simplifying
qrs = 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 '(5 + -3x + 3qrs + 3qrsx)' equal to zero and attempt to solve:

Simplifying
5 + -3x + 3qrs + 3qrsx = 0

Reorder the terms:
5 + 3qrs + 3qrsx + -3x = 0

Solving
5 + 3qrs + 3qrsx + -3x = 0

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

Add '-5' to each side of the equation.
5 + 3qrs + 3qrsx + -5 + -3x = 0 + -5

Reorder the terms:
5 + -5 + 3qrs + 3qrsx + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3qrs + 3qrsx + -3x = 0 + -5
3qrs + 3qrsx + -3x = 0 + -5

Combine like terms: 0 + -5 = -5
3qrs + 3qrsx + -3x = -5

Add '3x' to each side of the equation.
3qrs + 3qrsx + -3x + 3x = -5 + 3x

Combine like terms: -3x + 3x = 0
3qrs + 3qrsx + 0 = -5 + 3x
3qrs + 3qrsx = -5 + 3x

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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