(-6p^2+4p^3)+(-3p^3-8p^2)+(8p^2+6p^3)=

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Solution for (-6p^2+4p^3)+(-3p^3-8p^2)+(8p^2+6p^3)= equation: 


Simplifying
(-6p2 + 4p3) + (-3p3 + -8p2) + (8p2 + 6p3) = 0

Remove parenthesis around (-6p2 + 4p3)
-6p2 + 4p3 + (-3p3 + -8p2) + (8p2 + 6p3) = 0

Reorder the terms:
-6p2 + 4p3 + (-8p2 + -3p3) + (8p2 + 6p3) = 0

Remove parenthesis around (-8p2 + -3p3)
-6p2 + 4p3 + -8p2 + -3p3 + (8p2 + 6p3) = 0

Remove parenthesis around (8p2 + 6p3)
-6p2 + 4p3 + -8p2 + -3p3 + 8p2 + 6p3 = 0

Reorder the terms:
-6p2 + -8p2 + 8p2 + 4p3 + -3p3 + 6p3 = 0

Combine like terms: -6p2 + -8p2 = -14p2
-14p2 + 8p2 + 4p3 + -3p3 + 6p3 = 0

Combine like terms: -14p2 + 8p2 = -6p2
-6p2 + 4p3 + -3p3 + 6p3 = 0

Combine like terms: 4p3 + -3p3 = 1p3
-6p2 + 1p3 + 6p3 = 0

Combine like terms: 1p3 + 6p3 = 7p3
-6p2 + 7p3 = 0

Solving
-6p2 + 7p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(-6 + 7p) = 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 '(-6 + 7p)' equal to zero and attempt to solve:

Simplifying
-6 + 7p = 0

Solving
-6 + 7p = 0

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

Add '6' to each side of the equation.
-6 + 6 + 7p = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7p = 0 + 6
7p = 0 + 6

Combine like terms: 0 + 6 = 6
7p = 6

Divide each side by '7'.
p = 0.8571428571

Simplifying
p = 0.8571428571
Solution
p = {0, 0.8571428571}

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