x^2-12+sqrt(x^2-12)=6

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Solution for x^2-12+sqrt(x^2-12)=6 equation:


Simplifying
x2 + -12 + sqrt(x2 + -12) = 6

Reorder the terms:
x2 + -12 + qrst(-12 + x2) = 6
x2 + -12 + (-12 * qrst + x2 * qrst) = 6
x2 + -12 + (-12qrst + qrstx2) = 6

Reorder the terms:
-12 + -12qrst + qrstx2 + x2 = 6

Solving
-12 + -12qrst + qrstx2 + x2 = 6

Solving for variable 'q'.

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

Add '12' to each side of the equation.
-12 + -12qrst + qrstx2 + 12 + x2 = 6 + 12

Reorder the terms:
-12 + 12 + -12qrst + qrstx2 + x2 = 6 + 12

Combine like terms: -12 + 12 = 0
0 + -12qrst + qrstx2 + x2 = 6 + 12
-12qrst + qrstx2 + x2 = 6 + 12

Combine like terms: 6 + 12 = 18
-12qrst + qrstx2 + x2 = 18

Add '-1x2' to each side of the equation.
-12qrst + qrstx2 + x2 + -1x2 = 18 + -1x2

Combine like terms: x2 + -1x2 = 0
-12qrst + qrstx2 + 0 = 18 + -1x2
-12qrst + qrstx2 = 18 + -1x2

Reorder the terms:
-18 + -12qrst + qrstx2 + x2 = 18 + -1x2 + -18 + x2

Reorder the terms:
-18 + -12qrst + qrstx2 + x2 = 18 + -18 + -1x2 + x2

Combine like terms: 18 + -18 = 0
-18 + -12qrst + qrstx2 + x2 = 0 + -1x2 + x2
-18 + -12qrst + qrstx2 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-18 + -12qrst + qrstx2 + x2 = 0

The solution to this equation could not be determined.

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