25p^3-65p^2+30p=0

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Solution for 25p^3-65p^2+30p=0 equation:


Simplifying
25p3 + -65p2 + 30p = 0

Reorder the terms:
30p + -65p2 + 25p3 = 0

Solving
30p + -65p2 + 25p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '5p'.
5p(6 + -13p + 5p2) = 0

Factor a trinomial.
5p((3 + -5p)(2 + -1p)) = 0

Ignore the factor 5.

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 '(3 + -5p)' equal to zero and attempt to solve: Simplifying 3 + -5p = 0 Solving 3 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5p = 0 + -3 -5p = 0 + -3 Combine like terms: 0 + -3 = -3 -5p = -3 Divide each side by '-5'. p = 0.6 Simplifying p = 0.6

Subproblem 3

Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2

Solution

p = {0, 0.6, 2}

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