sqrt(x+16)=(3)sqrt(x)

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Solution for sqrt(x+16)=(3)sqrt(x) equation: 


Simplifying
sqrt(x + 16) = (3) * sqrt(x)

Reorder the terms:
qrst(16 + x) = (3) * sqrt(x)
(16 * qrst + x * qrst) = (3) * sqrt(x)
(16qrst + qrstx) = (3) * sqrt(x)

Multiply qrst * x
16qrst + qrstx = 3qrstx

Solving
16qrst + qrstx = 3qrstx

Solving for variable 'q'.

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

Add '-3qrstx' to each side of the equation.
16qrst + qrstx + -3qrstx = 3qrstx + -3qrstx

Combine like terms: qrstx + -3qrstx = -2qrstx
16qrst + -2qrstx = 3qrstx + -3qrstx

Combine like terms: 3qrstx + -3qrstx = 0
16qrst + -2qrstx = 0

Factor out the Greatest Common Factor (GCF), '2qrst'.
2qrst(8 + -1x) = 0

Ignore the factor 2.

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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