[SQRT(x+3)]=2[SQRT(x)]

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Solution for [SQRT(x+3)]=2[SQRT(x)] equation: 


Simplifying
[SQRT(x + 3)] = 2[SQRT(x)]

Reorder the terms:
[QRST(3 + x)] = 2[SQRT(x)]
[(3 * QRST + x * QRST)] = 2[SQRT(x)]
[(3QRST + xQRST)] = 2[SQRT(x)]
[3QRST + xQRST] = 2[SQRT(x)]

Remove brackets around [3QRST + xQRST]
3QRST + xQRST = 2[SQRT(x)]

Multiply QRST * x
3QRST + xQRST = 2[xQRST]

Solving
3QRST + xQRST = 2xQRST

Solving for variable 'Q'.

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

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

Combine like terms: xQRST + -2xQRST = -1xQRST
3QRST + -1xQRST = 2xQRST + -2xQRST

Combine like terms: 2xQRST + -2xQRST = 0
3QRST + -1xQRST = 0

Factor out the Greatest Common Factor (GCF), 'QRST'.
QRST(3 + -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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

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

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

Simplifying
0 = -3 + 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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