3p(4p+5)=0

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Solution for 3p(4p+5)=0 equation: 


Simplifying
3p(4p + 5) = 0

Reorder the terms:
3p(5 + 4p) = 0
(5 * 3p + 4p * 3p) = 0
(15p + 12p2) = 0

Solving
15p + 12p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3p'.
3p(5 + 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 '(5 + 4p)' equal to zero and attempt to solve:

Simplifying
5 + 4p = 0

Solving
5 + 4p = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4p = 0 + -5
4p = 0 + -5

Combine like terms: 0 + -5 = -5
4p = -5

Divide each side by '4'.
p = -1.25

Simplifying
p = -1.25
Solution
p = {0, -1.25}

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