x+sqrt(2x-6)=sqrt(8x+9)

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Solution for x+sqrt(2x-6)=sqrt(8x+9) equation: 


Simplifying
x + sqrt(2x + -6) = sqrt(8x + 9)

Reorder the terms:
x + qrst(-6 + 2x) = sqrt(8x + 9)
x + (-6 * qrst + 2x * qrst) = sqrt(8x + 9)
x + (-6qrst + 2qrstx) = sqrt(8x + 9)

Reorder the terms:
-6qrst + 2qrstx + x = sqrt(8x + 9)

Reorder the terms:
-6qrst + 2qrstx + x = qrst(9 + 8x)
-6qrst + 2qrstx + x = (9 * qrst + 8x * qrst)
-6qrst + 2qrstx + x = (9qrst + 8qrstx)

Solving
-6qrst + 2qrstx + x = 9qrst + 8qrstx

Solving for variable 'q'.

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

Add '-9qrst' to each side of the equation.
-6qrst + 2qrstx + -9qrst + x = 9qrst + -9qrst + 8qrstx

Reorder the terms:
-6qrst + -9qrst + 2qrstx + x = 9qrst + -9qrst + 8qrstx

Combine like terms: -6qrst + -9qrst = -15qrst
-15qrst + 2qrstx + x = 9qrst + -9qrst + 8qrstx

Combine like terms: 9qrst + -9qrst = 0
-15qrst + 2qrstx + x = 0 + 8qrstx
-15qrst + 2qrstx + x = 8qrstx

Add '-8qrstx' to each side of the equation.
-15qrst + 2qrstx + -8qrstx + x = 8qrstx + -8qrstx

Combine like terms: 2qrstx + -8qrstx = -6qrstx
-15qrst + -6qrstx + x = 8qrstx + -8qrstx

Combine like terms: 8qrstx + -8qrstx = 0
-15qrst + -6qrstx + x = 0

Add '-1x' to each side of the equation.
-15qrst + -6qrstx + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
-15qrst + -6qrstx + 0 = 0 + -1x
-15qrst + -6qrstx = 0 + -1x
Remove the zero:
-15qrst + -6qrstx = -1x

Combine like terms: -1x + x = 0
-15qrst + -6qrstx + x = 0

The solution to this equation could not be determined.

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