8sqrt(12+16x-16x^2)+4x-4x^2=33

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Solution for 8sqrt(12+16x-16x^2)+4x-4x^2=33 equation: 


Simplifying
8sqrt(12 + 16x + -16x2) + 4x + -4x2 = 33
(12 * 8qrst + 16x * 8qrst + -16x2 * 8qrst) + 4x + -4x2 = 33
(96qrst + 128qrstx + -128qrstx2) + 4x + -4x2 = 33

Solving
96qrst + 128qrstx + -128qrstx2 + 4x + -4x2 = 33

Solving for variable 'q'.

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

Add '-4x' to each side of the equation.
96qrst + 128qrstx + -128qrstx2 + 4x + -4x + -4x2 = 33 + -4x

Combine like terms: 4x + -4x = 0
96qrst + 128qrstx + -128qrstx2 + 0 + -4x2 = 33 + -4x
96qrst + 128qrstx + -128qrstx2 + -4x2 = 33 + -4x

Add '4x2' to each side of the equation.
96qrst + 128qrstx + -128qrstx2 + -4x2 + 4x2 = 33 + -4x + 4x2

Combine like terms: -4x2 + 4x2 = 0
96qrst + 128qrstx + -128qrstx2 + 0 = 33 + -4x + 4x2
96qrst + 128qrstx + -128qrstx2 = 33 + -4x + 4x2

Reorder the terms:
-33 + 96qrst + 128qrstx + -128qrstx2 + 4x + -4x2 = 33 + -4x + 4x2 + -33 + 4x + -4x2

Reorder the terms:
-33 + 96qrst + 128qrstx + -128qrstx2 + 4x + -4x2 = 33 + -33 + -4x + 4x + 4x2 + -4x2

Combine like terms: 33 + -33 = 0
-33 + 96qrst + 128qrstx + -128qrstx2 + 4x + -4x2 = 0 + -4x + 4x + 4x2 + -4x2
-33 + 96qrst + 128qrstx + -128qrstx2 + 4x + -4x2 = -4x + 4x + 4x2 + -4x2

Combine like terms: -4x + 4x = 0
-33 + 96qrst + 128qrstx + -128qrstx2 + 4x + -4x2 = 0 + 4x2 + -4x2
-33 + 96qrst + 128qrstx + -128qrstx2 + 4x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-33 + 96qrst + 128qrstx + -128qrstx2 + 4x + -4x2 = 0

The solution to this equation could not be determined.

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