5(3p+1)(p-3)(p+6)=0

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Solution for 5(3p+1)(p-3)(p+6)=0 equation: 


Simplifying
5(3p + 1)(p + -3)(p + 6) = 0

Reorder the terms:
5(1 + 3p)(p + -3)(p + 6) = 0

Reorder the terms:
5(1 + 3p)(-3 + p)(p + 6) = 0

Reorder the terms:
5(1 + 3p)(-3 + p)(6 + p) = 0

Multiply (1 + 3p) * (-3 + p)
5(1(-3 + p) + 3p * (-3 + p))(6 + p) = 0
5((-3 * 1 + p * 1) + 3p * (-3 + p))(6 + p) = 0
5((-3 + 1p) + 3p * (-3 + p))(6 + p) = 0
5(-3 + 1p + (-3 * 3p + p * 3p))(6 + p) = 0
5(-3 + 1p + (-9p + 3p2))(6 + p) = 0

Combine like terms: 1p + -9p = -8p
5(-3 + -8p + 3p2)(6 + p) = 0

Multiply (-3 + -8p + 3p2) * (6 + p)
5(-3(6 + p) + -8p * (6 + p) + 3p2 * (6 + p)) = 0
5((6 * -3 + p * -3) + -8p * (6 + p) + 3p2 * (6 + p)) = 0
5((-18 + -3p) + -8p * (6 + p) + 3p2 * (6 + p)) = 0
5(-18 + -3p + (6 * -8p + p * -8p) + 3p2 * (6 + p)) = 0
5(-18 + -3p + (-48p + -8p2) + 3p2 * (6 + p)) = 0
5(-18 + -3p + -48p + -8p2 + (6 * 3p2 + p * 3p2)) = 0
5(-18 + -3p + -48p + -8p2 + (18p2 + 3p3)) = 0

Combine like terms: -3p + -48p = -51p
5(-18 + -51p + -8p2 + 18p2 + 3p3) = 0

Combine like terms: -8p2 + 18p2 = 10p2
5(-18 + -51p + 10p2 + 3p3) = 0
(-18 * 5 + -51p * 5 + 10p2 * 5 + 3p3 * 5) = 0
(-90 + -255p + 50p2 + 15p3) = 0

Solving
-90 + -255p + 50p2 + 15p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-18 + -51p + 10p2 + 3p3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-18 + -51p + 10p2 + 3p3)' equal to zero and attempt to solve:

Simplifying
-18 + -51p + 10p2 + 3p3 = 0

Solving
-18 + -51p + 10p2 + 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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