sqrt(6x-44)=sqrt(2x-11)-sqrt(4x-29)

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Solution for sqrt(6x-44)=sqrt(2x-11)-sqrt(4x-29) equation:


Simplifying
sqrt(6x + -44) = sqrt(2x + -11) + -1sqrt(4x + -29)

Reorder the terms:
qrst(-44 + 6x) = sqrt(2x + -11) + -1sqrt(4x + -29)
(-44 * qrst + 6x * qrst) = sqrt(2x + -11) + -1sqrt(4x + -29)
(-44qrst + 6qrstx) = sqrt(2x + -11) + -1sqrt(4x + -29)

Reorder the terms:
-44qrst + 6qrstx = qrst(-11 + 2x) + -1sqrt(4x + -29)
-44qrst + 6qrstx = (-11 * qrst + 2x * qrst) + -1sqrt(4x + -29)
-44qrst + 6qrstx = (-11qrst + 2qrstx) + -1sqrt(4x + -29)

Reorder the terms:
-44qrst + 6qrstx = -11qrst + 2qrstx + -1qrst(-29 + 4x)
-44qrst + 6qrstx = -11qrst + 2qrstx + (-29 * -1qrst + 4x * -1qrst)
-44qrst + 6qrstx = -11qrst + 2qrstx + (29qrst + -4qrstx)

Reorder the terms:
-44qrst + 6qrstx = -11qrst + 29qrst + 2qrstx + -4qrstx

Combine like terms: -11qrst + 29qrst = 18qrst
-44qrst + 6qrstx = 18qrst + 2qrstx + -4qrstx

Combine like terms: 2qrstx + -4qrstx = -2qrstx
-44qrst + 6qrstx = 18qrst + -2qrstx

Solving
-44qrst + 6qrstx = 18qrst + -2qrstx

Solving for variable 'q'.

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

Add '-18qrst' to each side of the equation.
-44qrst + -18qrst + 6qrstx = 18qrst + -18qrst + -2qrstx

Combine like terms: -44qrst + -18qrst = -62qrst
-62qrst + 6qrstx = 18qrst + -18qrst + -2qrstx

Combine like terms: 18qrst + -18qrst = 0
-62qrst + 6qrstx = 0 + -2qrstx
-62qrst + 6qrstx = -2qrstx

Add '2qrstx' to each side of the equation.
-62qrst + 6qrstx + 2qrstx = -2qrstx + 2qrstx

Combine like terms: 6qrstx + 2qrstx = 8qrstx
-62qrst + 8qrstx = -2qrstx + 2qrstx

Combine like terms: -2qrstx + 2qrstx = 0
-62qrst + 8qrstx = 0

Factor out the Greatest Common Factor (GCF), '2qrst'.
2qrst(-31 + 4x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-31 + 4x)' equal to zero and attempt to solve: Simplifying -31 + 4x = 0 Solving -31 + 4x = 0 Move all terms containing q to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 4x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = 0 + 31 4x = 0 + 31 Combine like terms: 0 + 31 = 31 4x = 31 Add '-4x' to each side of the equation. 4x + -4x = 31 + -4x Combine like terms: 4x + -4x = 0 0 = 31 + -4x Simplifying 0 = 31 + -4x 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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