3(p-8)(3p-2)(p+3)=0

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Solution for 3(p-8)(3p-2)(p+3)=0 equation: 


Simplifying
3(p + -8)(3p + -2)(p + 3) = 0

Reorder the terms:
3(-8 + p)(3p + -2)(p + 3) = 0

Reorder the terms:
3(-8 + p)(-2 + 3p)(p + 3) = 0

Reorder the terms:
3(-8 + p)(-2 + 3p)(3 + p) = 0

Multiply (-8 + p) * (-2 + 3p)
3(-8(-2 + 3p) + p(-2 + 3p))(3 + p) = 0
3((-2 * -8 + 3p * -8) + p(-2 + 3p))(3 + p) = 0
3((16 + -24p) + p(-2 + 3p))(3 + p) = 0
3(16 + -24p + (-2 * p + 3p * p))(3 + p) = 0
3(16 + -24p + (-2p + 3p2))(3 + p) = 0

Combine like terms: -24p + -2p = -26p
3(16 + -26p + 3p2)(3 + p) = 0

Multiply (16 + -26p + 3p2) * (3 + p)
3(16(3 + p) + -26p * (3 + p) + 3p2 * (3 + p)) = 0
3((3 * 16 + p * 16) + -26p * (3 + p) + 3p2 * (3 + p)) = 0
3((48 + 16p) + -26p * (3 + p) + 3p2 * (3 + p)) = 0
3(48 + 16p + (3 * -26p + p * -26p) + 3p2 * (3 + p)) = 0
3(48 + 16p + (-78p + -26p2) + 3p2 * (3 + p)) = 0
3(48 + 16p + -78p + -26p2 + (3 * 3p2 + p * 3p2)) = 0
3(48 + 16p + -78p + -26p2 + (9p2 + 3p3)) = 0

Combine like terms: 16p + -78p = -62p
3(48 + -62p + -26p2 + 9p2 + 3p3) = 0

Combine like terms: -26p2 + 9p2 = -17p2
3(48 + -62p + -17p2 + 3p3) = 0
(48 * 3 + -62p * 3 + -17p2 * 3 + 3p3 * 3) = 0
(144 + -186p + -51p2 + 9p3) = 0

Solving
144 + -186p + -51p2 + 9p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(48 + -62p + -17p2 + 3p3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(48 + -62p + -17p2 + 3p3)' equal to zero and attempt to solve:

Simplifying
48 + -62p + -17p2 + 3p3 = 0

Solving
48 + -62p + -17p2 + 3p3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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