3p(5p-2)=

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Solution for 3p(5p-2)= equation: 


Simplifying
3p(5p + -2) = 0

Reorder the terms:
3p(-2 + 5p) = 0
(-2 * 3p + 5p * 3p) = 0
(-6p + 15p2) = 0

Solving
-6p + 15p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3p'.
3p(-2 + 5p) = 0

Ignore the factor 3.

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 '(-2 + 5p)' equal to zero and attempt to solve:

Simplifying
-2 + 5p = 0

Solving
-2 + 5p = 0

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

Add '2' to each side of the equation.
-2 + 2 + 5p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5p = 0 + 2
5p = 0 + 2

Combine like terms: 0 + 2 = 2
5p = 2

Divide each side by '5'.
p = 0.4

Simplifying
p = 0.4
Solution
p = {0, 0.4}

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