sqrt(x+4)=7-sqrt(x-2)

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Solution for sqrt(x+4)=7-sqrt(x-2) equation:


Simplifying
sqrt(x + 4) = 7 + -1sqrt(x + -2)

Reorder the terms:
qrst(4 + x) = 7 + -1sqrt(x + -2)
(4 * qrst + x * qrst) = 7 + -1sqrt(x + -2)
(4qrst + qrstx) = 7 + -1sqrt(x + -2)

Reorder the terms:
4qrst + qrstx = 7 + -1qrst(-2 + x)
4qrst + qrstx = 7 + (-2 * -1qrst + x * -1qrst)
4qrst + qrstx = 7 + (2qrst + -1qrstx)

Solving
4qrst + qrstx = 7 + 2qrst + -1qrstx

Solving for variable 'q'.

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

Add '-2qrst' to each side of the equation.
4qrst + -2qrst + qrstx = 7 + 2qrst + -2qrst + -1qrstx

Combine like terms: 4qrst + -2qrst = 2qrst
2qrst + qrstx = 7 + 2qrst + -2qrst + -1qrstx

Combine like terms: 2qrst + -2qrst = 0
2qrst + qrstx = 7 + 0 + -1qrstx
2qrst + qrstx = 7 + -1qrstx

Add 'qrstx' to each side of the equation.
2qrst + qrstx + qrstx = 7 + -1qrstx + qrstx

Combine like terms: qrstx + qrstx = 2qrstx
2qrst + 2qrstx = 7 + -1qrstx + qrstx

Combine like terms: -1qrstx + qrstx = 0
2qrst + 2qrstx = 7 + 0
2qrst + 2qrstx = 7

Reorder the terms:
-7 + 2qrst + 2qrstx = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 2qrst + 2qrstx = 0

The solution to this equation could not be determined.

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