6p^2(p+1)=4(p+1)-5p(p+8)

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Solution for 6p^2(p+1)=4(p+1)-5p(p+8) equation: 


Simplifying
6p2(p + 1) = 4(p + 1) + -5p(p + 8)

Reorder the terms:
6p2(1 + p) = 4(p + 1) + -5p(p + 8)
(1 * 6p2 + p * 6p2) = 4(p + 1) + -5p(p + 8)
(6p2 + 6p3) = 4(p + 1) + -5p(p + 8)

Reorder the terms:
6p2 + 6p3 = 4(1 + p) + -5p(p + 8)
6p2 + 6p3 = (1 * 4 + p * 4) + -5p(p + 8)
6p2 + 6p3 = (4 + 4p) + -5p(p + 8)

Reorder the terms:
6p2 + 6p3 = 4 + 4p + -5p(8 + p)
6p2 + 6p3 = 4 + 4p + (8 * -5p + p * -5p)
6p2 + 6p3 = 4 + 4p + (-40p + -5p2)

Combine like terms: 4p + -40p = -36p
6p2 + 6p3 = 4 + -36p + -5p2

Solving
6p2 + 6p3 = 4 + -36p + -5p2

Solving for variable 'p'.

Reorder the terms:
-4 + 36p + 6p2 + 5p2 + 6p3 = 4 + -36p + -5p2 + -4 + 36p + 5p2

Combine like terms: 6p2 + 5p2 = 11p2
-4 + 36p + 11p2 + 6p3 = 4 + -36p + -5p2 + -4 + 36p + 5p2

Reorder the terms:
-4 + 36p + 11p2 + 6p3 = 4 + -4 + -36p + 36p + -5p2 + 5p2

Combine like terms: 4 + -4 = 0
-4 + 36p + 11p2 + 6p3 = 0 + -36p + 36p + -5p2 + 5p2
-4 + 36p + 11p2 + 6p3 = -36p + 36p + -5p2 + 5p2

Combine like terms: -36p + 36p = 0
-4 + 36p + 11p2 + 6p3 = 0 + -5p2 + 5p2
-4 + 36p + 11p2 + 6p3 = -5p2 + 5p2

Combine like terms: -5p2 + 5p2 = 0
-4 + 36p + 11p2 + 6p3 = 0

The solution to this equation could not be determined.

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