3(x^2-4sqrt(3))-8x(sqrt(3)-1)+19=0

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Solution for 3(x^2-4sqrt(3))-8x(sqrt(3)-1)+19=0 equation:


Simplifying
3(x2 + -4sqrt(3)) + -8x(sqrt(3) + -1) + 19 = 0

Reorder the terms for easier multiplication:
3(x2 + -4 * 3qrst) + -8x(sqrt(3) + -1) + 19 = 0

Multiply -4 * 3
3(x2 + -12qrst) + -8x(sqrt(3) + -1) + 19 = 0

Reorder the terms:
3(-12qrst + x2) + -8x(sqrt(3) + -1) + 19 = 0
(-12qrst * 3 + x2 * 3) + -8x(sqrt(3) + -1) + 19 = 0
(-36qrst + 3x2) + -8x(sqrt(3) + -1) + 19 = 0

Reorder the terms for easier multiplication:
-36qrst + 3x2 + -8x(3qrst + -1) + 19 = 0

Reorder the terms:
-36qrst + 3x2 + -8x(-1 + 3qrst) + 19 = 0
-36qrst + 3x2 + (-1 * -8x + 3qrst * -8x) + 19 = 0

Reorder the terms:
-36qrst + 3x2 + (-24qrstx + 8x) + 19 = 0
-36qrst + 3x2 + (-24qrstx + 8x) + 19 = 0

Reorder the terms:
19 + -36qrst + -24qrstx + 8x + 3x2 = 0

Solving
19 + -36qrst + -24qrstx + 8x + 3x2 = 0

Solving for variable 'q'.

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

Add '-19' to each side of the equation.
19 + -36qrst + -24qrstx + 8x + -19 + 3x2 = 0 + -19

Reorder the terms:
19 + -19 + -36qrst + -24qrstx + 8x + 3x2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -36qrst + -24qrstx + 8x + 3x2 = 0 + -19
-36qrst + -24qrstx + 8x + 3x2 = 0 + -19

Combine like terms: 0 + -19 = -19
-36qrst + -24qrstx + 8x + 3x2 = -19

Add '-8x' to each side of the equation.
-36qrst + -24qrstx + 8x + -8x + 3x2 = -19 + -8x

Combine like terms: 8x + -8x = 0
-36qrst + -24qrstx + 0 + 3x2 = -19 + -8x
-36qrst + -24qrstx + 3x2 = -19 + -8x

Add '-3x2' to each side of the equation.
-36qrst + -24qrstx + 3x2 + -3x2 = -19 + -8x + -3x2

Combine like terms: 3x2 + -3x2 = 0
-36qrst + -24qrstx + 0 = -19 + -8x + -3x2
-36qrst + -24qrstx = -19 + -8x + -3x2

Reorder the terms:
19 + -36qrst + -24qrstx + 8x + 3x2 = -19 + -8x + -3x2 + 19 + 8x + 3x2

Reorder the terms:
19 + -36qrst + -24qrstx + 8x + 3x2 = -19 + 19 + -8x + 8x + -3x2 + 3x2

Combine like terms: -19 + 19 = 0
19 + -36qrst + -24qrstx + 8x + 3x2 = 0 + -8x + 8x + -3x2 + 3x2
19 + -36qrst + -24qrstx + 8x + 3x2 = -8x + 8x + -3x2 + 3x2

Combine like terms: -8x + 8x = 0
19 + -36qrst + -24qrstx + 8x + 3x2 = 0 + -3x2 + 3x2
19 + -36qrst + -24qrstx + 8x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
19 + -36qrst + -24qrstx + 8x + 3x2 = 0

The solution to this equation could not be determined.

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