3p(4p+1)=0

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Solution for 3p(4p+1)=0 equation:


Simplifying
3p(4p + 1) = 0

Reorder the terms:
3p(1 + 4p) = 0
(1 * 3p + 4p * 3p) = 0
(3p + 12p2) = 0

Solving
3p + 12p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3p'.
3p(1 + 4p) = 0

Ignore the factor 3.

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 '(1 + 4p)' equal to zero and attempt to solve: Simplifying 1 + 4p = 0 Solving 1 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4p = 0 + -1 4p = 0 + -1 Combine like terms: 0 + -1 = -1 4p = -1 Divide each side by '4'. p = -0.25 Simplifying p = -0.25

Solution

p = {0, -0.25}

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