sqrt(x-3)=sqrt(2x-5)-1

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Solution for sqrt(x-3)=sqrt(2x-5)-1 equation:


Simplifying
sqrt(x + -3) = sqrt(2x + -5) + -1

Reorder the terms:
qrst(-3 + x) = sqrt(2x + -5) + -1
(-3 * qrst + x * qrst) = sqrt(2x + -5) + -1
(-3qrst + qrstx) = sqrt(2x + -5) + -1

Reorder the terms:
-3qrst + qrstx = qrst(-5 + 2x) + -1
-3qrst + qrstx = (-5 * qrst + 2x * qrst) + -1
-3qrst + qrstx = (-5qrst + 2qrstx) + -1

Reorder the terms:
-3qrst + qrstx = -1 + -5qrst + 2qrstx

Solving
-3qrst + qrstx = -1 + -5qrst + 2qrstx

Solving for variable 'q'.

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

Add '5qrst' to each side of the equation.
-3qrst + 5qrst + qrstx = -1 + -5qrst + 5qrst + 2qrstx

Combine like terms: -3qrst + 5qrst = 2qrst
2qrst + qrstx = -1 + -5qrst + 5qrst + 2qrstx

Combine like terms: -5qrst + 5qrst = 0
2qrst + qrstx = -1 + 0 + 2qrstx
2qrst + qrstx = -1 + 2qrstx

Add '-2qrstx' to each side of the equation.
2qrst + qrstx + -2qrstx = -1 + 2qrstx + -2qrstx

Combine like terms: qrstx + -2qrstx = -1qrstx
2qrst + -1qrstx = -1 + 2qrstx + -2qrstx

Combine like terms: 2qrstx + -2qrstx = 0
2qrst + -1qrstx = -1 + 0
2qrst + -1qrstx = -1

Reorder the terms:
1 + 2qrst + -1qrstx = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 2qrst + -1qrstx = 0

The solution to this equation could not be determined.

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