sqrt(3x-9.25)=sqrt(x^2-4x+3)

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Solution for sqrt(3x-9.25)=sqrt(x^2-4x+3) equation:


Simplifying
sqrt(3x + -9.25) = sqrt(x2 + -4x + 3)

Reorder the terms:
qrst(-9.25 + 3x) = sqrt(x2 + -4x + 3)
(-9.25 * qrst + 3x * qrst) = sqrt(x2 + -4x + 3)
(-9.25qrst + 3qrstx) = sqrt(x2 + -4x + 3)

Reorder the terms:
-9.25qrst + 3qrstx = qrst(3 + -4x + x2)
-9.25qrst + 3qrstx = (3 * qrst + -4x * qrst + x2 * qrst)
-9.25qrst + 3qrstx = (3qrst + -4qrstx + qrstx2)

Solving
-9.25qrst + 3qrstx = 3qrst + -4qrstx + qrstx2

Solving for variable 'q'.

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

Add '-3qrst' to each side of the equation.
-9.25qrst + -3qrst + 3qrstx = 3qrst + -4qrstx + -3qrst + qrstx2

Combine like terms: -9.25qrst + -3qrst = -12.25qrst
-12.25qrst + 3qrstx = 3qrst + -4qrstx + -3qrst + qrstx2

Reorder the terms:
-12.25qrst + 3qrstx = 3qrst + -3qrst + -4qrstx + qrstx2

Combine like terms: 3qrst + -3qrst = 0
-12.25qrst + 3qrstx = 0 + -4qrstx + qrstx2
-12.25qrst + 3qrstx = -4qrstx + qrstx2

Add '4qrstx' to each side of the equation.
-12.25qrst + 3qrstx + 4qrstx = -4qrstx + 4qrstx + qrstx2

Combine like terms: 3qrstx + 4qrstx = 7qrstx
-12.25qrst + 7qrstx = -4qrstx + 4qrstx + qrstx2

Combine like terms: -4qrstx + 4qrstx = 0
-12.25qrst + 7qrstx = 0 + qrstx2
-12.25qrst + 7qrstx = qrstx2

Add '-1qrstx2' to each side of the equation.
-12.25qrst + 7qrstx + -1qrstx2 = qrstx2 + -1qrstx2

Combine like terms: qrstx2 + -1qrstx2 = 0
-12.25qrst + 7qrstx + -1qrstx2 = 0

The solution to this equation could not be determined.

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