2sqrt(x)-sqrt(x-13)=sqrt(15+x)

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Solution for 2sqrt(x)-sqrt(x-13)=sqrt(15+x) equation:


Simplifying
2sqrt(x) + -1sqrt(x + -13) = sqrt(15 + x)

Multiply qrst * x
2qrstx + -1sqrt(x + -13) = sqrt(15 + x)

Reorder the terms:
2qrstx + -1qrst(-13 + x) = sqrt(15 + x)
2qrstx + (-13 * -1qrst + x * -1qrst) = sqrt(15 + x)
2qrstx + (13qrst + -1qrstx) = sqrt(15 + x)

Reorder the terms:
13qrst + 2qrstx + -1qrstx = sqrt(15 + x)

Combine like terms: 2qrstx + -1qrstx = 1qrstx
13qrst + 1qrstx = sqrt(15 + x)
13qrst + 1qrstx = (15 * qrst + x * qrst)
13qrst + 1qrstx = (15qrst + qrstx)

Solving
13qrst + 1qrstx = 15qrst + qrstx

Solving for variable 'q'.

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

Add '-15qrst' to each side of the equation.
13qrst + -15qrst + 1qrstx = 15qrst + -15qrst + qrstx

Combine like terms: 13qrst + -15qrst = -2qrst
-2qrst + 1qrstx = 15qrst + -15qrst + qrstx

Combine like terms: 15qrst + -15qrst = 0
-2qrst + 1qrstx = 0 + qrstx
-2qrst + 1qrstx = qrstx

Add '-1qrstx' to each side of the equation.
-2qrst + 1qrstx + -1qrstx = qrstx + -1qrstx

Combine like terms: 1qrstx + -1qrstx = 0
-2qrst + 0 = qrstx + -1qrstx
-2qrst = qrstx + -1qrstx

Combine like terms: qrstx + -1qrstx = 0
-2qrst = 0

Divide each side by '-2'.
qrst = 0

Simplifying
qrst = 0

The solution to this equation could not be determined.

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