x-6=sqrt(13x+36)

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Solution for x-6=sqrt(13x+36) equation:


Simplifying
x + -6 = sqrt(13x + 36)

Reorder the terms:
-6 + x = sqrt(13x + 36)

Reorder the terms:
-6 + x = qrst(36 + 13x)
-6 + x = (36 * qrst + 13x * qrst)
-6 + x = (36qrst + 13qrstx)

Solving
-6 + x = 36qrst + 13qrstx

Solving for variable 'x'.

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

Add '-13qrstx' to each side of the equation.
-6 + -13qrstx + x = 36qrst + 13qrstx + -13qrstx

Combine like terms: 13qrstx + -13qrstx = 0
-6 + -13qrstx + x = 36qrst + 0
-6 + -13qrstx + x = 36qrst

Add '6' to each side of the equation.
-6 + -13qrstx + 6 + x = 6 + 36qrst

Reorder the terms:
-6 + 6 + -13qrstx + x = 6 + 36qrst

Combine like terms: -6 + 6 = 0
0 + -13qrstx + x = 6 + 36qrst
-13qrstx + x = 6 + 36qrst

Reorder the terms:
-6 + -36qrst + -13qrstx + x = 6 + 36qrst + -6 + -36qrst

Reorder the terms:
-6 + -36qrst + -13qrstx + x = 6 + -6 + 36qrst + -36qrst

Combine like terms: 6 + -6 = 0
-6 + -36qrst + -13qrstx + x = 0 + 36qrst + -36qrst
-6 + -36qrst + -13qrstx + x = 36qrst + -36qrst

Combine like terms: 36qrst + -36qrst = 0
-6 + -36qrst + -13qrstx + x = 0

The solution to this equation could not be determined.

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