sqrt(16x+1)+sqrt(8x+1)=12

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Solution for sqrt(16x+1)+sqrt(8x+1)=12 equation:


Simplifying
sqrt(16x + 1) + sqrt(8x + 1) = 12

Reorder the terms:
qrst(1 + 16x) + sqrt(8x + 1) = 12
(1 * qrst + 16x * qrst) + sqrt(8x + 1) = 12
(1qrst + 16qrstx) + sqrt(8x + 1) = 12

Reorder the terms:
1qrst + 16qrstx + qrst(1 + 8x) = 12
1qrst + 16qrstx + (1 * qrst + 8x * qrst) = 12
1qrst + 16qrstx + (1qrst + 8qrstx) = 12

Reorder the terms:
1qrst + 1qrst + 16qrstx + 8qrstx = 12

Combine like terms: 1qrst + 1qrst = 2qrst
2qrst + 16qrstx + 8qrstx = 12

Combine like terms: 16qrstx + 8qrstx = 24qrstx
2qrst + 24qrstx = 12

Solving
2qrst + 24qrstx = 12

Solving for variable 'q'.

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

Reorder the terms:
-12 + 2qrst + 24qrstx = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 2qrst + 24qrstx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + qrst + 12qrstx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-6 + qrst + 12qrstx)' equal to zero and attempt to solve: Simplifying -6 + qrst + 12qrstx = 0 Solving -6 + qrst + 12qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + qrst + 6 + 12qrstx = 0 + 6 Reorder the terms: -6 + 6 + qrst + 12qrstx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + qrst + 12qrstx = 0 + 6 qrst + 12qrstx = 0 + 6 Combine like terms: 0 + 6 = 6 qrst + 12qrstx = 6 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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