sqrt(.5x-2)=sqrt(x-8)

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Solution for sqrt(.5x-2)=sqrt(x-8) equation:


Simplifying
sqrt(0.5x + -2) = sqrt(x + -8)

Reorder the terms:
qrst(-2 + 0.5x) = sqrt(x + -8)
(-2 * qrst + 0.5x * qrst) = sqrt(x + -8)
(-2qrst + 0.5qrstx) = sqrt(x + -8)

Reorder the terms:
-2qrst + 0.5qrstx = qrst(-8 + x)
-2qrst + 0.5qrstx = (-8 * qrst + x * qrst)
-2qrst + 0.5qrstx = (-8qrst + qrstx)

Solving
-2qrst + 0.5qrstx = -8qrst + qrstx

Solving for variable 'q'.

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

Add '8qrst' to each side of the equation.
-2qrst + 8qrst + 0.5qrstx = -8qrst + 8qrst + qrstx

Combine like terms: -2qrst + 8qrst = 6qrst
6qrst + 0.5qrstx = -8qrst + 8qrst + qrstx

Combine like terms: -8qrst + 8qrst = 0
6qrst + 0.5qrstx = 0 + qrstx
6qrst + 0.5qrstx = qrstx

Add '-1qrstx' to each side of the equation.
6qrst + 0.5qrstx + -1qrstx = qrstx + -1qrstx

Combine like terms: 0.5qrstx + -1qrstx = -0.5qrstx
6qrst + -0.5qrstx = qrstx + -1qrstx

Combine like terms: qrstx + -1qrstx = 0
6qrst + -0.5qrstx = 0

The solution to this equation could not be determined.

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