sqrt(2x-3)-sqrt(4x+1)=-2

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Solution for sqrt(2x-3)-sqrt(4x+1)=-2 equation:


Simplifying
sqrt(2x + -3) + -1sqrt(4x + 1) = -2

Reorder the terms:
qrst(-3 + 2x) + -1sqrt(4x + 1) = -2
(-3 * qrst + 2x * qrst) + -1sqrt(4x + 1) = -2
(-3qrst + 2qrstx) + -1sqrt(4x + 1) = -2

Reorder the terms:
-3qrst + 2qrstx + -1qrst(1 + 4x) = -2
-3qrst + 2qrstx + (1 * -1qrst + 4x * -1qrst) = -2
-3qrst + 2qrstx + (-1qrst + -4qrstx) = -2

Reorder the terms:
-3qrst + -1qrst + 2qrstx + -4qrstx = -2

Combine like terms: -3qrst + -1qrst = -4qrst
-4qrst + 2qrstx + -4qrstx = -2

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

Solving
-4qrst + -2qrstx = -2

Solving for variable 'q'.

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

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -2qrst + -1qrstx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -2qrst + -1qrstx)' equal to zero and attempt to solve: Simplifying 1 + -2qrst + -1qrstx = 0 Solving 1 + -2qrst + -1qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2qrst + -1 + -1qrstx = 0 + -1 Reorder the terms: 1 + -1 + -2qrst + -1qrstx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2qrst + -1qrstx = 0 + -1 -2qrst + -1qrstx = 0 + -1 Combine like terms: 0 + -1 = -1 -2qrst + -1qrstx = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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