Sqrt(6n-3)=sqrt(-15+7n)

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Solution for Sqrt(6n-3)=sqrt(-15+7n) equation: 


Simplifying
Sqrt(6n + -3) = sqrt(-15 + 7n)

Reorder the terms:
qrtS(-3 + 6n) = sqrt(-15 + 7n)
(-3 * qrtS + 6n * qrtS) = sqrt(-15 + 7n)

Reorder the terms:
(6nqrtS + -3qrtS) = sqrt(-15 + 7n)
(6nqrtS + -3qrtS) = sqrt(-15 + 7n)
6nqrtS + -3qrtS = (-15 * qrst + 7n * qrst)

Reorder the terms:
6nqrtS + -3qrtS = (7nqrst + -15qrst)
6nqrtS + -3qrtS = (7nqrst + -15qrst)

Solving
6nqrtS + -3qrtS = 7nqrst + -15qrst

Solving for variable 'n'.

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

Add '-7nqrst' to each side of the equation.
6nqrtS + -7nqrst + -3qrtS = 7nqrst + -7nqrst + -15qrst

Reorder the terms:
-7nqrst + 6nqrtS + -3qrtS = 7nqrst + -7nqrst + -15qrst

Combine like terms: 7nqrst + -7nqrst = 0
-7nqrst + 6nqrtS + -3qrtS = 0 + -15qrst
-7nqrst + 6nqrtS + -3qrtS = -15qrst

Add '3qrtS' to each side of the equation.
-7nqrst + 6nqrtS + -3qrtS + 3qrtS = -15qrst + 3qrtS

Combine like terms: -3qrtS + 3qrtS = 0
-7nqrst + 6nqrtS + 0 = -15qrst + 3qrtS
-7nqrst + 6nqrtS = -15qrst + 3qrtS

Reorder the terms:
-7nqrst + 6nqrtS + 15qrst + -3qrtS = -15qrst + 15qrst + 3qrtS + -3qrtS

Combine like terms: -15qrst + 15qrst = 0
-7nqrst + 6nqrtS + 15qrst + -3qrtS = 0 + 3qrtS + -3qrtS
-7nqrst + 6nqrtS + 15qrst + -3qrtS = 3qrtS + -3qrtS

Combine like terms: 3qrtS + -3qrtS = 0
-7nqrst + 6nqrtS + 15qrst + -3qrtS = 0

Factor out the Greatest Common Factor (GCF), 'qrt'.
qrt(-7ns + 6nS + 15s + -3S) = 0


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

Simplifying
qrt = 0

Solving
qrt = 0

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

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

Simplifying
0 = -1qrt

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 '(-7ns + 6nS + 15s + -3S)' equal to zero and attempt to solve:

Simplifying
-7ns + 6nS + 15s + -3S = 0

Reorder the terms:
-3S + 6nS + -7ns + 15s = 0

Solving
-3S + 6nS + -7ns + 15s = 0

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

Add '3S' to each side of the equation.
-3S + 6nS + -7ns + 3S + 15s = 0 + 3S

Reorder the terms:
-3S + 3S + 6nS + -7ns + 15s = 0 + 3S

Combine like terms: -3S + 3S = 0
0 + 6nS + -7ns + 15s = 0 + 3S
6nS + -7ns + 15s = 0 + 3S
Remove the zero:
6nS + -7ns + 15s = 3S

Add '-15s' to each side of the equation.
6nS + -7ns + 15s + -15s = 3S + -15s

Combine like terms: 15s + -15s = 0
6nS + -7ns + 0 = 3S + -15s
6nS + -7ns = 3S + -15s

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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