rad(x+4)+rad(3x+16)=2

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Solution for rad(x+4)+rad(3x+16)=2 equation:


Simplifying
rad(x + 4) + rad(3x + 16) = 2

Reorder the terms:
adr(4 + x) + rad(3x + 16) = 2
(4 * adr + x * adr) + rad(3x + 16) = 2
(4adr + adrx) + rad(3x + 16) = 2

Reorder the terms:
4adr + adrx + adr(16 + 3x) = 2
4adr + adrx + (16 * adr + 3x * adr) = 2
4adr + adrx + (16adr + 3adrx) = 2

Reorder the terms:
4adr + 16adr + adrx + 3adrx = 2

Combine like terms: 4adr + 16adr = 20adr
20adr + adrx + 3adrx = 2

Combine like terms: adrx + 3adrx = 4adrx
20adr + 4adrx = 2

Solving
20adr + 4adrx = 2

Solving for variable 'a'.

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

Reorder the terms:
-2 + 20adr + 4adrx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 20adr + 4adrx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 10adr + 2adrx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + 10adr + 2adrx)' equal to zero and attempt to solve: Simplifying -1 + 10adr + 2adrx = 0 Solving -1 + 10adr + 2adrx = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 10adr + 1 + 2adrx = 0 + 1 Reorder the terms: -1 + 1 + 10adr + 2adrx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10adr + 2adrx = 0 + 1 10adr + 2adrx = 0 + 1 Combine like terms: 0 + 1 = 1 10adr + 2adrx = 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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