3p^3+2p^2-2p^3+5p^2=

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Solution for 3p^3+2p^2-2p^3+5p^2= equation: 


Simplifying
3p3 + 2p2 + -2p3 + 5p2 = 0

Reorder the terms:
2p2 + 5p2 + 3p3 + -2p3 = 0

Combine like terms: 2p2 + 5p2 = 7p2
7p2 + 3p3 + -2p3 = 0

Combine like terms: 3p3 + -2p3 = 1p3
7p2 + 1p3 = 0

Solving
7p2 + 1p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(7 + p) = 0


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 '(7 + p)' equal to zero and attempt to solve:

Simplifying
7 + p = 0

Solving
7 + p = 0

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

Add '-7' to each side of the equation.
7 + -7 + p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + p = 0 + -7
p = 0 + -7

Combine like terms: 0 + -7 = -7
p = -7

Simplifying
p = -7
Solution
p = {0, -7}

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