(sqrt(3)-sqrt(2))*(x-sqrt(6))=0

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Solution for (sqrt(3)-sqrt(2))*(x-sqrt(6))=0 equation:


Simplifying
(sqrt(3) + -1sqrt(2))(x + -1sqrt(6)) = 0

Reorder the terms for easier multiplication:
(3qrst + -1sqrt(2))(x + -1sqrt(6)) = 0

Reorder the terms for easier multiplication:
(3qrst + -1 * 2qrst)(x + -1sqrt(6)) = 0

Multiply -1 * 2
(3qrst + -2qrst)(x + -1sqrt(6)) = 0

Combine like terms: 3qrst + -2qrst = 1qrst
(1qrst)(x + -1sqrt(6)) = 0

Remove parenthesis around (1qrst)
1qrst(x + -1sqrt(6)) = 0

Reorder the terms for easier multiplication:
1qrst(x + -1 * 6qrst) = 0

Multiply -1 * 6
1qrst(x + -6qrst) = 0

Reorder the terms:
1qrst(-6qrst + x) = 0
(-6qrst * 1qrst + x * 1qrst) = 0

Reorder the terms:
(1qrstx + -6q2r2s2t2) = 0
(1qrstx + -6q2r2s2t2) = 0

Solving
1qrstx + -6q2r2s2t2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'qrst'.
qrst(x + -6qrst) = 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 '(x + -6qrst)' equal to zero and attempt to solve:

Simplifying
x + -6qrst = 0

Reorder the terms:
-6qrst + x = 0

Solving
-6qrst + x = 0

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

Add '-1x' to each side of the equation.
-6qrst + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
-6qrst + 0 = 0 + -1x
-6qrst = 0 + -1x
Remove the zero:
-6qrst = -1x

Divide each side by '-6rst'.
q = 0.1666666667r-1s-1t-1x

Simplifying
q = 0.1666666667r-1s-1t-1x
Solution
q = {0.1666666667r-1s-1t-1x}

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