(3r+2)(9r^2+6r+4)=0

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Solution for (3r+2)(9r^2+6r+4)=0 equation:


Simplifying
(3r + 2)(9r2 + 6r + 4) = 0

Reorder the terms:
(2 + 3r)(9r2 + 6r + 4) = 0

Reorder the terms:
(2 + 3r)(4 + 6r + 9r2) = 0

Multiply (2 + 3r) * (4 + 6r + 9r2)
(2(4 + 6r + 9r2) + 3r * (4 + 6r + 9r2)) = 0
((4 * 2 + 6r * 2 + 9r2 * 2) + 3r * (4 + 6r + 9r2)) = 0
((8 + 12r + 18r2) + 3r * (4 + 6r + 9r2)) = 0
(8 + 12r + 18r2 + (4 * 3r + 6r * 3r + 9r2 * 3r)) = 0
(8 + 12r + 18r2 + (12r + 18r2 + 27r3)) = 0

Reorder the terms:
(8 + 12r + 12r + 18r2 + 18r2 + 27r3) = 0

Combine like terms: 12r + 12r = 24r
(8 + 24r + 18r2 + 18r2 + 27r3) = 0

Combine like terms: 18r2 + 18r2 = 36r2
(8 + 24r + 36r2 + 27r3) = 0

Solving
8 + 24r + 36r2 + 27r3 = 0

Solving for variable 'r'.

The solution to this equation could not be determined.

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