sqrt(3x+1)+sqrt(x-4)-sqrt(4x+5)=0

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Solution for sqrt(3x+1)+sqrt(x-4)-sqrt(4x+5)=0 equation:


Simplifying
sqrt(3x + 1) + sqrt(x + -4) + -1sqrt(4x + 5) = 0

Reorder the terms:
qrst(1 + 3x) + sqrt(x + -4) + -1sqrt(4x + 5) = 0
(1 * qrst + 3x * qrst) + sqrt(x + -4) + -1sqrt(4x + 5) = 0
(1qrst + 3qrstx) + sqrt(x + -4) + -1sqrt(4x + 5) = 0

Reorder the terms:
1qrst + 3qrstx + qrst(-4 + x) + -1sqrt(4x + 5) = 0
1qrst + 3qrstx + (-4 * qrst + x * qrst) + -1sqrt(4x + 5) = 0
1qrst + 3qrstx + (-4qrst + qrstx) + -1sqrt(4x + 5) = 0

Reorder the terms:
1qrst + 3qrstx + -4qrst + qrstx + -1qrst(5 + 4x) = 0
1qrst + 3qrstx + -4qrst + qrstx + (5 * -1qrst + 4x * -1qrst) = 0
1qrst + 3qrstx + -4qrst + qrstx + (-5qrst + -4qrstx) = 0

Reorder the terms:
1qrst + -4qrst + -5qrst + 3qrstx + qrstx + -4qrstx = 0

Combine like terms: 1qrst + -4qrst = -3qrst
-3qrst + -5qrst + 3qrstx + qrstx + -4qrstx = 0

Combine like terms: -3qrst + -5qrst = -8qrst
-8qrst + 3qrstx + qrstx + -4qrstx = 0

Combine like terms: 3qrstx + qrstx = 4qrstx
-8qrst + 4qrstx + -4qrstx = 0

Combine like terms: 4qrstx + -4qrstx = 0
-8qrst + 0 = 0
-8qrst = 0

Solving
-8qrst = 0

Solving for variable 'q'.

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

Divide each side by '-8'.
qrst = 0

Simplifying
qrst = 0

The solution to this equation could not be determined.

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