SQRT(3+2SQRT(2))=0

Solution for SQRT(3+2SQRT(2))=0 equation:

Simplifying
SQRT(3 + 2SQRT(2)) = 0

Reorder the terms for easier multiplication:
QRST(3 + 2 * 2QRST) = 0

Multiply 2 * 2
QRST(3 + 4QRST) = 0
(3 * QRST + 4QRST * QRST) = 0
(3QRST + 4Q2R2S2T2) = 0

Solving
3QRST + 4Q2R2S2T2 = 0

Solving for variable 'Q'.

Factor out the Greatest Common Factor (GCF), 'QRST'.
QRST(3 + 4QRST) = 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 + 4QRST)' equal to zero and attempt to solve:

Simplifying
3 + 4QRST = 0

Solving
3 + 4QRST = 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 + 4QRST = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4QRST = 0 + -3
4QRST = 0 + -3

Combine like terms: 0 + -3 = -3
4QRST = -3

Divide each side by '4RST'.
Q = -0.75R-1S-1T-1

Simplifying
Q = -0.75R-1S-1T-1
Solution
Q = {-0.75R-1S-1T-1}