x+3=sqrt(8x+12)

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Solution for x+3=sqrt(8x+12) equation:


Simplifying
x + 3 = sqrt(8x + 12)

Reorder the terms:
3 + x = sqrt(8x + 12)

Reorder the terms:
3 + x = qrst(12 + 8x)
3 + x = (12 * qrst + 8x * qrst)
3 + x = (12qrst + 8qrstx)

Solving
3 + x = 12qrst + 8qrstx

Solving for variable 'x'.

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

Add '-8qrstx' to each side of the equation.
3 + -8qrstx + x = 12qrst + 8qrstx + -8qrstx

Combine like terms: 8qrstx + -8qrstx = 0
3 + -8qrstx + x = 12qrst + 0
3 + -8qrstx + x = 12qrst

Add '-3' to each side of the equation.
3 + -8qrstx + -3 + x = -3 + 12qrst

Reorder the terms:
3 + -3 + -8qrstx + x = -3 + 12qrst

Combine like terms: 3 + -3 = 0
0 + -8qrstx + x = -3 + 12qrst
-8qrstx + x = -3 + 12qrst

Reorder the terms:
3 + -12qrst + -8qrstx + x = -3 + 12qrst + 3 + -12qrst

Reorder the terms:
3 + -12qrst + -8qrstx + x = -3 + 3 + 12qrst + -12qrst

Combine like terms: -3 + 3 = 0
3 + -12qrst + -8qrstx + x = 0 + 12qrst + -12qrst
3 + -12qrst + -8qrstx + x = 12qrst + -12qrst

Combine like terms: 12qrst + -12qrst = 0
3 + -12qrst + -8qrstx + x = 0

The solution to this equation could not be determined.

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