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

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


Simplifying
x2 + -3 + -4sqrt(x2 + -3) + -12 = 0

Reorder the terms:
x2 + -3 + -4qrst(-3 + x2) + -12 = 0
x2 + -3 + (-3 * -4qrst + x2 * -4qrst) + -12 = 0
x2 + -3 + (12qrst + -4qrstx2) + -12 = 0

Reorder the terms:
-3 + -12 + 12qrst + -4qrstx2 + x2 = 0

Combine like terms: -3 + -12 = -15
-15 + 12qrst + -4qrstx2 + x2 = 0

Solving
-15 + 12qrst + -4qrstx2 + x2 = 0

Solving for variable 'q'.

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

Add '15' to each side of the equation.
-15 + 12qrst + -4qrstx2 + 15 + x2 = 0 + 15

Reorder the terms:
-15 + 15 + 12qrst + -4qrstx2 + x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 12qrst + -4qrstx2 + x2 = 0 + 15
12qrst + -4qrstx2 + x2 = 0 + 15

Combine like terms: 0 + 15 = 15
12qrst + -4qrstx2 + x2 = 15

Add '-1x2' to each side of the equation.
12qrst + -4qrstx2 + x2 + -1x2 = 15 + -1x2

Combine like terms: x2 + -1x2 = 0
12qrst + -4qrstx2 + 0 = 15 + -1x2
12qrst + -4qrstx2 = 15 + -1x2

Reorder the terms:
-15 + 12qrst + -4qrstx2 + x2 = 15 + -1x2 + -15 + x2

Reorder the terms:
-15 + 12qrst + -4qrstx2 + x2 = 15 + -15 + -1x2 + x2

Combine like terms: 15 + -15 = 0
-15 + 12qrst + -4qrstx2 + x2 = 0 + -1x2 + x2
-15 + 12qrst + -4qrstx2 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-15 + 12qrst + -4qrstx2 + x2 = 0

The solution to this equation could not be determined.

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