(p^3-3p^2+5p)-(-4p^3-3p^2-8p)=

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Solution for (p^3-3p^2+5p)-(-4p^3-3p^2-8p)= equation: 


Simplifying
(p3 + -3p2 + 5p) + -1(-4p3 + -3p2 + -8p) = 0

Reorder the terms:
(5p + -3p2 + p3) + -1(-4p3 + -3p2 + -8p) = 0

Remove parenthesis around (5p + -3p2 + p3)
5p + -3p2 + p3 + -1(-4p3 + -3p2 + -8p) = 0

Reorder the terms:
5p + -3p2 + p3 + -1(-8p + -3p2 + -4p3) = 0
5p + -3p2 + p3 + (-8p * -1 + -3p2 * -1 + -4p3 * -1) = 0
5p + -3p2 + p3 + (8p + 3p2 + 4p3) = 0

Reorder the terms:
5p + 8p + -3p2 + 3p2 + p3 + 4p3 = 0

Combine like terms: 5p + 8p = 13p
13p + -3p2 + 3p2 + p3 + 4p3 = 0

Combine like terms: -3p2 + 3p2 = 0
13p + 0 + p3 + 4p3 = 0
13p + p3 + 4p3 = 0

Combine like terms: p3 + 4p3 = 5p3
13p + 5p3 = 0

Solving
13p + 5p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(13 + 5p2) = 0


Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

Move all terms containing p to the left, all other terms to the right.

Simplifying
p = 0

Subproblem 2
Set the factor '(13 + 5p2)' equal to zero and attempt to solve:

Simplifying
13 + 5p2 = 0

Solving
13 + 5p2 = 0

Move all terms containing p to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + 5p2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 5p2 = 0 + -13
5p2 = 0 + -13

Combine like terms: 0 + -13 = -13
5p2 = -13

Divide each side by '5'.
p2 = -2.6

Simplifying
p2 = -2.6

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}

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