Xsqrt(3x+1)=3+sqrt(x-4)

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Solution for Xsqrt(3x+1)=3+sqrt(x-4) equation:


Simplifying
Xsqrt(3x + 1) = 3 + sqrt(x + -4)

Reorder the terms:
qrstX(1 + 3x) = 3 + sqrt(x + -4)
(1 * qrstX + 3x * qrstX) = 3 + sqrt(x + -4)
(1qrstX + 3qrstxX) = 3 + sqrt(x + -4)

Reorder the terms:
1qrstX + 3qrstxX = 3 + qrst(-4 + x)
1qrstX + 3qrstxX = 3 + (-4 * qrst + x * qrst)
1qrstX + 3qrstxX = 3 + (-4qrst + qrstx)

Solving
1qrstX + 3qrstxX = 3 + -4qrst + qrstx

Solving for variable 'q'.

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

Add '4qrst' to each side of the equation.
1qrstX + 4qrst + 3qrstxX = 3 + -4qrst + 4qrst + qrstx

Reorder the terms:
4qrst + 1qrstX + 3qrstxX = 3 + -4qrst + 4qrst + qrstx

Combine like terms: -4qrst + 4qrst = 0
4qrst + 1qrstX + 3qrstxX = 3 + 0 + qrstx
4qrst + 1qrstX + 3qrstxX = 3 + qrstx

Add '-1qrstx' to each side of the equation.
4qrst + 1qrstX + -1qrstx + 3qrstxX = 3 + qrstx + -1qrstx

Combine like terms: qrstx + -1qrstx = 0
4qrst + 1qrstX + -1qrstx + 3qrstxX = 3 + 0
4qrst + 1qrstX + -1qrstx + 3qrstxX = 3

Reorder the terms:
-3 + 4qrst + 1qrstX + -1qrstx + 3qrstxX = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 4qrst + 1qrstX + -1qrstx + 3qrstxX = 0

The solution to this equation could not be determined.

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