3x+3sqrt(3)-2ysqrt(3)+xsqrt(3)=0

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Solution for 3x+3sqrt(3)-2ysqrt(3)+xsqrt(3)=0 equation:


Simplifying
3x + 3sqrt(3) + -2ysqrt(3) + xsqrt(3) = 0

Reorder the terms for easier multiplication:
3x + 3 * 3qrst + -2ysqrt(3) + xsqrt(3) = 0

Multiply 3 * 3
3x + 9qrst + -2ysqrt(3) + xsqrt(3) = 0

Reorder the terms for easier multiplication:
3x + 9qrst + -2 * 3qrsty + xsqrt(3) = 0

Multiply -2 * 3
3x + 9qrst + -6qrsty + xsqrt(3) = 0

Reorder the terms for easier multiplication:
3x + 9qrst + -6qrsty + 3qrstx = 0

Reorder the terms:
9qrst + 3qrstx + -6qrsty + 3x = 0

Solving
9qrst + 3qrstx + -6qrsty + 3x = 0

Solving for variable 'q'.

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

Add '-3x' to each side of the equation.
9qrst + 3qrstx + -6qrsty + 3x + -3x = 0 + -3x

Combine like terms: 3x + -3x = 0
9qrst + 3qrstx + -6qrsty + 0 = 0 + -3x
9qrst + 3qrstx + -6qrsty = 0 + -3x
Remove the zero:
9qrst + 3qrstx + -6qrsty = -3x

Combine like terms: -3x + 3x = 0
9qrst + 3qrstx + -6qrsty + 3x = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(3qrst + qrstx + -2qrsty + x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(3qrst + qrstx + -2qrsty + x)' equal to zero and attempt to solve: Simplifying 3qrst + qrstx + -2qrsty + x = 0 Solving 3qrst + qrstx + -2qrsty + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-1x' to each side of the equation. 3qrst + qrstx + -2qrsty + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 3qrst + qrstx + -2qrsty + 0 = 0 + -1x 3qrst + qrstx + -2qrsty = 0 + -1x Remove the zero: 3qrst + qrstx + -2qrsty = -1x 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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