15p^2(p+1)=5(p+1)-22p(p+1)

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Solution for 15p^2(p+1)=5(p+1)-22p(p+1) equation: 


Simplifying
15p2(p + 1) = 5(p + 1) + -22p(p + 1)

Reorder the terms:
15p2(1 + p) = 5(p + 1) + -22p(p + 1)
(1 * 15p2 + p * 15p2) = 5(p + 1) + -22p(p + 1)
(15p2 + 15p3) = 5(p + 1) + -22p(p + 1)

Reorder the terms:
15p2 + 15p3 = 5(1 + p) + -22p(p + 1)
15p2 + 15p3 = (1 * 5 + p * 5) + -22p(p + 1)
15p2 + 15p3 = (5 + 5p) + -22p(p + 1)

Reorder the terms:
15p2 + 15p3 = 5 + 5p + -22p(1 + p)
15p2 + 15p3 = 5 + 5p + (1 * -22p + p * -22p)
15p2 + 15p3 = 5 + 5p + (-22p + -22p2)

Combine like terms: 5p + -22p = -17p
15p2 + 15p3 = 5 + -17p + -22p2

Solving
15p2 + 15p3 = 5 + -17p + -22p2

Solving for variable 'p'.

Reorder the terms:
-5 + 17p + 15p2 + 22p2 + 15p3 = 5 + -17p + -22p2 + -5 + 17p + 22p2

Combine like terms: 15p2 + 22p2 = 37p2
-5 + 17p + 37p2 + 15p3 = 5 + -17p + -22p2 + -5 + 17p + 22p2

Reorder the terms:
-5 + 17p + 37p2 + 15p3 = 5 + -5 + -17p + 17p + -22p2 + 22p2

Combine like terms: 5 + -5 = 0
-5 + 17p + 37p2 + 15p3 = 0 + -17p + 17p + -22p2 + 22p2
-5 + 17p + 37p2 + 15p3 = -17p + 17p + -22p2 + 22p2

Combine like terms: -17p + 17p = 0
-5 + 17p + 37p2 + 15p3 = 0 + -22p2 + 22p2
-5 + 17p + 37p2 + 15p3 = -22p2 + 22p2

Combine like terms: -22p2 + 22p2 = 0
-5 + 17p + 37p2 + 15p3 = 0

The solution to this equation could not be determined.

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