sqrt(6u+16)-sqrt(2u+4)=2

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Solution for sqrt(6u+16)-sqrt(2u+4)=2 equation:


Simplifying
sqrt(6u + 16) + -1sqrt(2u + 4) = 2

Reorder the terms:
qrst(16 + 6u) + -1sqrt(2u + 4) = 2
(16 * qrst + 6u * qrst) + -1sqrt(2u + 4) = 2
(16qrst + 6qrstu) + -1sqrt(2u + 4) = 2

Reorder the terms:
16qrst + 6qrstu + -1qrst(4 + 2u) = 2
16qrst + 6qrstu + (4 * -1qrst + 2u * -1qrst) = 2
16qrst + 6qrstu + (-4qrst + -2qrstu) = 2

Reorder the terms:
16qrst + -4qrst + 6qrstu + -2qrstu = 2

Combine like terms: 16qrst + -4qrst = 12qrst
12qrst + 6qrstu + -2qrstu = 2

Combine like terms: 6qrstu + -2qrstu = 4qrstu
12qrst + 4qrstu = 2

Solving
12qrst + 4qrstu = 2

Solving for variable 'q'.

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

Reorder the terms:
-2 + 12qrst + 4qrstu = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 12qrst + 4qrstu = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 6qrst + 2qrstu) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + 6qrst + 2qrstu)' equal to zero and attempt to solve: Simplifying -1 + 6qrst + 2qrstu = 0 Solving -1 + 6qrst + 2qrstu = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 6qrst + 1 + 2qrstu = 0 + 1 Reorder the terms: -1 + 1 + 6qrst + 2qrstu = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6qrst + 2qrstu = 0 + 1 6qrst + 2qrstu = 0 + 1 Combine like terms: 0 + 1 = 1 6qrst + 2qrstu = 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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