sqrt(9x+9)=sqrt(8x+12)

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Solution for sqrt(9x+9)=sqrt(8x+12) equation: 


Simplifying
sqrt(9x + 9) = sqrt(8x + 12)

Reorder the terms:
qrst(9 + 9x) = sqrt(8x + 12)
(9 * qrst + 9x * qrst) = sqrt(8x + 12)
(9qrst + 9qrstx) = sqrt(8x + 12)

Reorder the terms:
9qrst + 9qrstx = qrst(12 + 8x)
9qrst + 9qrstx = (12 * qrst + 8x * qrst)
9qrst + 9qrstx = (12qrst + 8qrstx)

Solving
9qrst + 9qrstx = 12qrst + 8qrstx

Solving for variable 'q'.

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

Add '-12qrst' to each side of the equation.
9qrst + -12qrst + 9qrstx = 12qrst + -12qrst + 8qrstx

Combine like terms: 9qrst + -12qrst = -3qrst
-3qrst + 9qrstx = 12qrst + -12qrst + 8qrstx

Combine like terms: 12qrst + -12qrst = 0
-3qrst + 9qrstx = 0 + 8qrstx
-3qrst + 9qrstx = 8qrstx

Add '-8qrstx' to each side of the equation.
-3qrst + 9qrstx + -8qrstx = 8qrstx + -8qrstx

Combine like terms: 9qrstx + -8qrstx = 1qrstx
-3qrst + 1qrstx = 8qrstx + -8qrstx

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

Factor out the Greatest Common Factor (GCF), 'qrst'.
qrst(-3 + x) = 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 '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

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

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Add '-1x' to each side of the equation.
x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
0 = 3 + -1x

Simplifying
0 = 3 + -1x

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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