sqrt(2x-6)=sqrt(3x-14)

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Solution for sqrt(2x-6)=sqrt(3x-14) equation: 


Simplifying
sqrt(2x + -6) = sqrt(3x + -14)

Reorder the terms:
qrst(-6 + 2x) = sqrt(3x + -14)
(-6 * qrst + 2x * qrst) = sqrt(3x + -14)
(-6qrst + 2qrstx) = sqrt(3x + -14)

Reorder the terms:
-6qrst + 2qrstx = qrst(-14 + 3x)
-6qrst + 2qrstx = (-14 * qrst + 3x * qrst)
-6qrst + 2qrstx = (-14qrst + 3qrstx)

Solving
-6qrst + 2qrstx = -14qrst + 3qrstx

Solving for variable 'q'.

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

Add '14qrst' to each side of the equation.
-6qrst + 14qrst + 2qrstx = -14qrst + 14qrst + 3qrstx

Combine like terms: -6qrst + 14qrst = 8qrst
8qrst + 2qrstx = -14qrst + 14qrst + 3qrstx

Combine like terms: -14qrst + 14qrst = 0
8qrst + 2qrstx = 0 + 3qrstx
8qrst + 2qrstx = 3qrstx

Add '-3qrstx' to each side of the equation.
8qrst + 2qrstx + -3qrstx = 3qrstx + -3qrstx

Combine like terms: 2qrstx + -3qrstx = -1qrstx
8qrst + -1qrstx = 3qrstx + -3qrstx

Combine like terms: 3qrstx + -3qrstx = 0
8qrst + -1qrstx = 0

Factor out the Greatest Common Factor (GCF), 'qrst'.
qrst(8 + -1x) = 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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Add 'x' to each side of the equation.
-1x + x = -8 + x

Combine like terms: -1x + x = 0
0 = -8 + x

Simplifying
0 = -8 + x

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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