(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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