x^2+x+6sqrt(x-2)=54

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Solution for x^2+x+6sqrt(x-2)=54 equation:


Simplifying
x2 + x + 6sqrt(x + -2) = 54

Reorder the terms:
x2 + x + 6qrst(-2 + x) = 54
x2 + x + (-2 * 6qrst + x * 6qrst) = 54
x2 + x + (-12qrst + 6qrstx) = 54

Reorder the terms:
-12qrst + 6qrstx + x + x2 = 54

Solving
-12qrst + 6qrstx + x + x2 = 54

Solving for variable 'q'.

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

Add '-1x' to each side of the equation.
-12qrst + 6qrstx + x + -1x + x2 = 54 + -1x

Combine like terms: x + -1x = 0
-12qrst + 6qrstx + 0 + x2 = 54 + -1x
-12qrst + 6qrstx + x2 = 54 + -1x

Add '-1x2' to each side of the equation.
-12qrst + 6qrstx + x2 + -1x2 = 54 + -1x + -1x2

Combine like terms: x2 + -1x2 = 0
-12qrst + 6qrstx + 0 = 54 + -1x + -1x2
-12qrst + 6qrstx = 54 + -1x + -1x2

Reorder the terms:
-54 + -12qrst + 6qrstx + x + x2 = 54 + -1x + -1x2 + -54 + x + x2

Reorder the terms:
-54 + -12qrst + 6qrstx + x + x2 = 54 + -54 + -1x + x + -1x2 + x2

Combine like terms: 54 + -54 = 0
-54 + -12qrst + 6qrstx + x + x2 = 0 + -1x + x + -1x2 + x2
-54 + -12qrst + 6qrstx + x + x2 = -1x + x + -1x2 + x2

Combine like terms: -1x + x = 0
-54 + -12qrst + 6qrstx + x + x2 = 0 + -1x2 + x2
-54 + -12qrst + 6qrstx + x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-54 + -12qrst + 6qrstx + x + x2 = 0

The solution to this equation could not be determined.

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