sqrt(4x^2-1)=1-sqrt(4x-1)

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Solution for sqrt(4x^2-1)=1-sqrt(4x-1) equation:


Simplifying
sqrt(4x2 + -1) = 1 + -1sqrt(4x + -1)

Reorder the terms:
qrst(-1 + 4x2) = 1 + -1sqrt(4x + -1)
(-1 * qrst + 4x2 * qrst) = 1 + -1sqrt(4x + -1)
(-1qrst + 4qrstx2) = 1 + -1sqrt(4x + -1)

Reorder the terms:
-1qrst + 4qrstx2 = 1 + -1qrst(-1 + 4x)
-1qrst + 4qrstx2 = 1 + (-1 * -1qrst + 4x * -1qrst)
-1qrst + 4qrstx2 = 1 + (1qrst + -4qrstx)

Solving
-1qrst + 4qrstx2 = 1 + 1qrst + -4qrstx

Solving for variable 'q'.

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

Add '-1qrst' to each side of the equation.
-1qrst + -1qrst + 4qrstx2 = 1 + 1qrst + -1qrst + -4qrstx

Combine like terms: -1qrst + -1qrst = -2qrst
-2qrst + 4qrstx2 = 1 + 1qrst + -1qrst + -4qrstx

Combine like terms: 1qrst + -1qrst = 0
-2qrst + 4qrstx2 = 1 + 0 + -4qrstx
-2qrst + 4qrstx2 = 1 + -4qrstx

Add '4qrstx' to each side of the equation.
-2qrst + 4qrstx + 4qrstx2 = 1 + -4qrstx + 4qrstx

Combine like terms: -4qrstx + 4qrstx = 0
-2qrst + 4qrstx + 4qrstx2 = 1 + 0
-2qrst + 4qrstx + 4qrstx2 = 1

Reorder the terms:
-1 + -2qrst + 4qrstx + 4qrstx2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -2qrst + 4qrstx + 4qrstx2 = 0

The solution to this equation could not be determined.

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