Sgrt(3x+1)=sqrt(18-2x)

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Solution for Sgrt(3x+1)=sqrt(18-2x) equation: 


Simplifying
Sgrt(3x + 1) = sqrt(18 + -2x)

Reorder the terms:
grtS(1 + 3x) = sqrt(18 + -2x)
(1 * grtS + 3x * grtS) = sqrt(18 + -2x)
(1grtS + 3grtxS) = sqrt(18 + -2x)
1grtS + 3grtxS = (18 * qrst + -2x * qrst)
1grtS + 3grtxS = (18qrst + -2qrstx)

Solving
1grtS + 3grtxS = 18qrst + -2qrstx

Solving for variable 'g'.

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

Reorder the terms:
1grtS + 3grtxS + -18qrst + 2qrstx = 18qrst + -18qrst + -2qrstx + 2qrstx

Combine like terms: 18qrst + -18qrst = 0
1grtS + 3grtxS + -18qrst + 2qrstx = 0 + -2qrstx + 2qrstx
1grtS + 3grtxS + -18qrst + 2qrstx = -2qrstx + 2qrstx

Combine like terms: -2qrstx + 2qrstx = 0
1grtS + 3grtxS + -18qrst + 2qrstx = 0

Factor out the Greatest Common Factor (GCF), 'rt'.
rt(gS + 3gxS + -18qs + 2qsx) = 0


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

Simplifying
rt = 0

Solving
rt = 0

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

Add '-1rt' to each side of the equation.
rt + -1rt = 0 + -1rt
Remove the zero:
0 = -1rt

Simplifying
0 = -1rt

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 '(gS + 3gxS + -18qs + 2qsx)' equal to zero and attempt to solve:

Simplifying
gS + 3gxS + -18qs + 2qsx = 0

Solving
gS + 3gxS + -18qs + 2qsx = 0

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

Add '18qs' to each side of the equation.
gS + 3gxS + -18qs + 18qs + 2qsx = 0 + 18qs

Combine like terms: -18qs + 18qs = 0
gS + 3gxS + 0 + 2qsx = 0 + 18qs
gS + 3gxS + 2qsx = 0 + 18qs
Remove the zero:
gS + 3gxS + 2qsx = 18qs

Add '-2qsx' to each side of the equation.
gS + 3gxS + 2qsx + -2qsx = 18qs + -2qsx

Combine like terms: 2qsx + -2qsx = 0
gS + 3gxS + 0 = 18qs + -2qsx
gS + 3gxS = 18qs + -2qsx

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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