2p(5-6p)=

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Solution for 2p(5-6p)= equation: 


Simplifying
2p(5 + -6p) = 0
(5 * 2p + -6p * 2p) = 0
(10p + -12p2) = 0

Solving
10p + -12p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2p'.
2p(5 + -6p) = 0

Ignore the factor 2.

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 + -6p)' equal to zero and attempt to solve:

Simplifying
5 + -6p = 0

Solving
5 + -6p = 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 + -6p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6p = 0 + -5
-6p = 0 + -5

Combine like terms: 0 + -5 = -5
-6p = -5

Divide each side by '-6'.
p = 0.8333333333

Simplifying
p = 0.8333333333
Solution
p = {0, 0.8333333333}

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