(r^2+3r)(r^2+3r+5)=6

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Solution for (r^2+3r)(r^2+3r+5)=6 equation: 


Simplifying
(r2 + 3r)(r2 + 3r + 5) = 6

Reorder the terms:
(3r + r2)(r2 + 3r + 5) = 6

Reorder the terms:
(3r + r2)(5 + 3r + r2) = 6

Multiply (3r + r2) * (5 + 3r + r2)
(3r * (5 + 3r + r2) + r2(5 + 3r + r2)) = 6
((5 * 3r + 3r * 3r + r2 * 3r) + r2(5 + 3r + r2)) = 6
((15r + 9r2 + 3r3) + r2(5 + 3r + r2)) = 6
(15r + 9r2 + 3r3 + (5 * r2 + 3r * r2 + r2 * r2)) = 6
(15r + 9r2 + 3r3 + (5r2 + 3r3 + r4)) = 6

Reorder the terms:
(15r + 9r2 + 5r2 + 3r3 + 3r3 + r4) = 6

Combine like terms: 9r2 + 5r2 = 14r2
(15r + 14r2 + 3r3 + 3r3 + r4) = 6

Combine like terms: 3r3 + 3r3 = 6r3
(15r + 14r2 + 6r3 + r4) = 6

Solving
15r + 14r2 + 6r3 + r4 = 6

Solving for variable 'r'.

Reorder the terms:
-6 + 15r + 14r2 + 6r3 + r4 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 15r + 14r2 + 6r3 + r4 = 0

The solution to this equation could not be determined.

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