48p^2+27p^3=0

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Solution for 48p^2+27p^3=0 equation:


Simplifying
48p2 + 27p3 = 0

Solving
48p2 + 27p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3p2'.
3p2(16 + 9p) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}

Subproblem 2

Set the factor '(16 + 9p)' equal to zero and attempt to solve: Simplifying 16 + 9p = 0 Solving 16 + 9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 9p = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 9p = 0 + -16 9p = 0 + -16 Combine like terms: 0 + -16 = -16 9p = -16 Divide each side by '9'. p = -1.777777778 Simplifying p = -1.777777778

Solution

p = {0, -1.777777778}

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