SQRT(2+X)=10-SQRT(X)

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Solution for SQRT(2+X)=10-SQRT(X) equation: 


Simplifying
SQRT(2 + X) = 10 + -1SQRT(X)
(2 * QRST + X * QRST) = 10 + -1SQRT(X)
(2QRST + QRSTX) = 10 + -1SQRT(X)

Multiply QRST * X
2QRST + QRSTX = 10 + -1QRSTX

Solving
2QRST + QRSTX = 10 + -1QRSTX

Solving for variable 'Q'.

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

Add 'QRSTX' to each side of the equation.
2QRST + QRSTX + QRSTX = 10 + -1QRSTX + QRSTX

Combine like terms: QRSTX + QRSTX = 2QRSTX
2QRST + 2QRSTX = 10 + -1QRSTX + QRSTX

Combine like terms: -1QRSTX + QRSTX = 0
2QRST + 2QRSTX = 10 + 0
2QRST + 2QRSTX = 10

Reorder the terms:
-10 + 2QRST + 2QRSTX = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 2QRST + 2QRSTX = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + QRST + QRSTX) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + QRST + QRSTX)' equal to zero and attempt to solve:

Simplifying
-5 + QRST + QRSTX = 0

Solving
-5 + QRST + QRSTX = 0

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

Add '5' to each side of the equation.
-5 + QRST + 5 + QRSTX = 0 + 5

Reorder the terms:
-5 + 5 + QRST + QRSTX = 0 + 5

Combine like terms: -5 + 5 = 0
0 + QRST + QRSTX = 0 + 5
QRST + QRSTX = 0 + 5

Combine like terms: 0 + 5 = 5
QRST + QRSTX = 5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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