-x=sqrt(x+6)

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


Simplifying
-1x = sqrt(x + 6)

Reorder the terms:
-1x = qrst(6 + x)
-1x = (6 * qrst + x * qrst)
-1x = (6qrst + qrstx)

Solving
-1x = 6qrst + qrstx

Solving for variable 'x'.

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

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

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

Reorder the terms:
-6qrst + -1qrstx + -1x = 6qrst + -6qrst

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6qrst + qrstx + x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(6qrst + qrstx + x)' equal to zero and attempt to solve: Simplifying 6qrst + qrstx + x = 0 Solving 6qrst + qrstx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6qrst' to each side of the equation. 6qrst + qrstx + -6qrst + x = 0 + -6qrst Reorder the terms: 6qrst + -6qrst + qrstx + x = 0 + -6qrst Combine like terms: 6qrst + -6qrst = 0 0 + qrstx + x = 0 + -6qrst qrstx + x = 0 + -6qrst Remove the zero: qrstx + x = -6qrst 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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