16x^4+8(sqrt(3))x^3-12x^2-8(sqrt(3))x-3=0

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Solution for 16x^4+8(sqrt(3))x^3-12x^2-8(sqrt(3))x-3=0 equation: 


Simplifying
16x4 + 8(sqrt(3)) * x3 + -12x2 + -8(sqrt(3)) * x + -3 = 0

Reorder the terms for easier multiplication:
16x4 + 8(3qrst) * x3 + -12x2 + -8(sqrt(3)) * x + -3 = 0

Remove parenthesis around (3qrst)
16x4 + 8 * 3qrst * x3 + -12x2 + -8(sqrt(3)) * x + -3 = 0

Multiply 8 * 3
16x4 + 24qrst * x3 + -12x2 + -8(sqrt(3)) * x + -3 = 0

Multiply qrst * x3
16x4 + 24qrstx3 + -12x2 + -8(sqrt(3)) * x + -3 = 0

Reorder the terms for easier multiplication:
16x4 + 24qrstx3 + -12x2 + -8(3qrst) * x + -3 = 0

Remove parenthesis around (3qrst)
16x4 + 24qrstx3 + -12x2 + -8 * 3qrst * x + -3 = 0

Multiply -8 * 3
16x4 + 24qrstx3 + -12x2 + -24qrst * x + -3 = 0

Multiply qrst * x
16x4 + 24qrstx3 + -12x2 + -24qrstx + -3 = 0

Reorder the terms:
-3 + -24qrstx + 24qrstx3 + -12x2 + 16x4 = 0

Solving
-3 + -24qrstx + 24qrstx3 + -12x2 + 16x4 = 0

Solving for variable 'q'.

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

Add '3' to each side of the equation.
-3 + -24qrstx + 24qrstx3 + -12x2 + 3 + 16x4 = 0 + 3

Reorder the terms:
-3 + 3 + -24qrstx + 24qrstx3 + -12x2 + 16x4 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -24qrstx + 24qrstx3 + -12x2 + 16x4 = 0 + 3
-24qrstx + 24qrstx3 + -12x2 + 16x4 = 0 + 3

Combine like terms: 0 + 3 = 3
-24qrstx + 24qrstx3 + -12x2 + 16x4 = 3

Add '12x2' to each side of the equation.
-24qrstx + 24qrstx3 + -12x2 + 12x2 + 16x4 = 3 + 12x2

Combine like terms: -12x2 + 12x2 = 0
-24qrstx + 24qrstx3 + 0 + 16x4 = 3 + 12x2
-24qrstx + 24qrstx3 + 16x4 = 3 + 12x2

Add '-16x4' to each side of the equation.
-24qrstx + 24qrstx3 + 16x4 + -16x4 = 3 + 12x2 + -16x4

Combine like terms: 16x4 + -16x4 = 0
-24qrstx + 24qrstx3 + 0 = 3 + 12x2 + -16x4
-24qrstx + 24qrstx3 = 3 + 12x2 + -16x4

Reorder the terms:
-3 + -24qrstx + 24qrstx3 + -12x2 + 16x4 = 3 + 12x2 + -16x4 + -3 + -12x2 + 16x4

Reorder the terms:
-3 + -24qrstx + 24qrstx3 + -12x2 + 16x4 = 3 + -3 + 12x2 + -12x2 + -16x4 + 16x4

Combine like terms: 3 + -3 = 0
-3 + -24qrstx + 24qrstx3 + -12x2 + 16x4 = 0 + 12x2 + -12x2 + -16x4 + 16x4
-3 + -24qrstx + 24qrstx3 + -12x2 + 16x4 = 12x2 + -12x2 + -16x4 + 16x4

Combine like terms: 12x2 + -12x2 = 0
-3 + -24qrstx + 24qrstx3 + -12x2 + 16x4 = 0 + -16x4 + 16x4
-3 + -24qrstx + 24qrstx3 + -12x2 + 16x4 = -16x4 + 16x4

Combine like terms: -16x4 + 16x4 = 0
-3 + -24qrstx + 24qrstx3 + -12x2 + 16x4 = 0

The solution to this equation could not be determined.

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