p(3p+5)(3p-5)=

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Solution for p(3p+5)(3p-5)= equation: 


Simplifying
p(3p + 5)(3p + -5) = 0

Reorder the terms:
p(5 + 3p)(3p + -5) = 0

Reorder the terms:
p(5 + 3p)(-5 + 3p) = 0

Multiply (5 + 3p) * (-5 + 3p)
p(5(-5 + 3p) + 3p * (-5 + 3p)) = 0
p((-5 * 5 + 3p * 5) + 3p * (-5 + 3p)) = 0
p((-25 + 15p) + 3p * (-5 + 3p)) = 0
p(-25 + 15p + (-5 * 3p + 3p * 3p)) = 0
p(-25 + 15p + (-15p + 9p2)) = 0

Combine like terms: 15p + -15p = 0
p(-25 + 0 + 9p2) = 0
p(-25 + 9p2) = 0
(-25 * p + 9p2 * p) = 0
(-25p + 9p3) = 0

Solving
-25p + 9p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-25 + 9p2) = 0

Factor a difference between two squares.
p((5 + 3p)(-5 + 3p)) = 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 '(5 + 3p)' equal to zero and attempt to solve:

Simplifying
5 + 3p = 0

Solving
5 + 3p = 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 + 3p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3p = 0 + -5
3p = 0 + -5

Combine like terms: 0 + -5 = -5
3p = -5

Divide each side by '3'.
p = -1.666666667

Simplifying
p = -1.666666667

Subproblem 3
Set the factor '(-5 + 3p)' equal to zero and attempt to solve:

Simplifying
-5 + 3p = 0

Solving
-5 + 3p = 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 + 3p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3p = 0 + 5
3p = 0 + 5

Combine like terms: 0 + 5 = 5
3p = 5

Divide each side by '3'.
p = 1.666666667

Simplifying
p = 1.666666667
Solution
p = {0, -1.666666667, 1.666666667}

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