sqrt(5x+3)=3sqrt(x)

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Solution for sqrt(5x+3)=3sqrt(x) equation: 


Simplifying
sqrt(5x + 3) = 3sqrt(x)

Reorder the terms:
qrst(3 + 5x) = 3sqrt(x)
(3 * qrst + 5x * qrst) = 3sqrt(x)
(3qrst + 5qrstx) = 3sqrt(x)

Multiply qrst * x
3qrst + 5qrstx = 3qrstx

Solving
3qrst + 5qrstx = 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.
3qrst + 5qrstx + -3qrstx = 3qrstx + -3qrstx

Combine like terms: 5qrstx + -3qrstx = 2qrstx
3qrst + 2qrstx = 3qrstx + -3qrstx

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

Factor out the Greatest Common Factor (GCF), 'qrst'.
qrst(3 + 2x) = 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 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Add '-2x' to each side of the equation.
2x + -2x = -3 + -2x

Combine like terms: 2x + -2x = 0
0 = -3 + -2x

Simplifying
0 = -3 + -2x

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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