p(5p-8)=0

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Solution for p(5p-8)=0 equation: 


Simplifying
p(5p + -8) = 0

Reorder the terms:
p(-8 + 5p) = 0
(-8 * p + 5p * p) = 0
(-8p + 5p2) = 0

Solving
-8p + 5p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-8 + 5p) = 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 '(-8 + 5p)' equal to zero and attempt to solve:

Simplifying
-8 + 5p = 0

Solving
-8 + 5p = 0

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

Add '8' to each side of the equation.
-8 + 8 + 5p = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5p = 0 + 8
5p = 0 + 8

Combine like terms: 0 + 8 = 8
5p = 8

Divide each side by '5'.
p = 1.6

Simplifying
p = 1.6
Solution
p = {0, 1.6}

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