3p+2p[3p+5]=

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Solution for 3p+2p[3p+5]= equation: 


Simplifying
3p + 2p[3p + 5] = 0

Reorder the terms:
3p + 2p[5 + 3p] = 0
3p + [5 * 2p + 3p * 2p] = 0
3p + [10p + 6p2] = 0

Combine like terms: 3p + 10p = 13p
13p + 6p2 = 0

Solving
13p + 6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(13 + 6p) = 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 + 6p)' equal to zero and attempt to solve:

Simplifying
13 + 6p = 0

Solving
13 + 6p = 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 + 6p = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6p = 0 + -13
6p = 0 + -13

Combine like terms: 0 + -13 = -13
6p = -13

Divide each side by '6'.
p = -2.166666667

Simplifying
p = -2.166666667
Solution
p = {0, -2.166666667}

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