(p^2-3p)(p^2-3p)=8(p^2-3p)+20

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Solution for (p^2-3p)(p^2-3p)=8(p^2-3p)+20 equation: 


Simplifying
(p2 + -3p)(p2 + -3p) = 8(p2 + -3p) + 20

Reorder the terms:
(-3p + p2)(p2 + -3p) = 8(p2 + -3p) + 20

Reorder the terms:
(-3p + p2)(-3p + p2) = 8(p2 + -3p) + 20

Multiply (-3p + p2) * (-3p + p2)
(-3p * (-3p + p2) + p2(-3p + p2)) = 8(p2 + -3p) + 20
((-3p * -3p + p2 * -3p) + p2(-3p + p2)) = 8(p2 + -3p) + 20
((9p2 + -3p3) + p2(-3p + p2)) = 8(p2 + -3p) + 20
(9p2 + -3p3 + (-3p * p2 + p2 * p2)) = 8(p2 + -3p) + 20
(9p2 + -3p3 + (-3p3 + p4)) = 8(p2 + -3p) + 20

Combine like terms: -3p3 + -3p3 = -6p3
(9p2 + -6p3 + p4) = 8(p2 + -3p) + 20

Reorder the terms:
9p2 + -6p3 + p4 = 8(-3p + p2) + 20
9p2 + -6p3 + p4 = (-3p * 8 + p2 * 8) + 20
9p2 + -6p3 + p4 = (-24p + 8p2) + 20

Reorder the terms:
9p2 + -6p3 + p4 = 20 + -24p + 8p2

Solving
9p2 + -6p3 + p4 = 20 + -24p + 8p2

Solving for variable 'p'.

Reorder the terms:
-20 + 24p + 9p2 + -8p2 + -6p3 + p4 = 20 + -24p + 8p2 + -20 + 24p + -8p2

Combine like terms: 9p2 + -8p2 = 1p2
-20 + 24p + 1p2 + -6p3 + p4 = 20 + -24p + 8p2 + -20 + 24p + -8p2

Reorder the terms:
-20 + 24p + 1p2 + -6p3 + p4 = 20 + -20 + -24p + 24p + 8p2 + -8p2

Combine like terms: 20 + -20 = 0
-20 + 24p + 1p2 + -6p3 + p4 = 0 + -24p + 24p + 8p2 + -8p2
-20 + 24p + 1p2 + -6p3 + p4 = -24p + 24p + 8p2 + -8p2

Combine like terms: -24p + 24p = 0
-20 + 24p + 1p2 + -6p3 + p4 = 0 + 8p2 + -8p2
-20 + 24p + 1p2 + -6p3 + p4 = 8p2 + -8p2

Combine like terms: 8p2 + -8p2 = 0
-20 + 24p + 1p2 + -6p3 + p4 = 0

The solution to this equation could not be determined.

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