2p^2+3p^2-8p^3-6p^3=

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Solution for 2p^2+3p^2-8p^3-6p^3= equation: 


Simplifying
2p2 + 3p2 + -8p3 + -6p3 = 0

Combine like terms: 2p2 + 3p2 = 5p2
5p2 + -8p3 + -6p3 = 0

Combine like terms: -8p3 + -6p3 = -14p3
5p2 + -14p3 = 0

Solving
5p2 + -14p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(5 + -14p) = 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 '(5 + -14p)' equal to zero and attempt to solve:

Simplifying
5 + -14p = 0

Solving
5 + -14p = 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 + -14p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -14p = 0 + -5
-14p = 0 + -5

Combine like terms: 0 + -5 = -5
-14p = -5

Divide each side by '-14'.
p = 0.3571428571

Simplifying
p = 0.3571428571
Solution
p = {0, 0.3571428571}

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