2p(6p-9)=

Solution for 2p(6p-9)= equation:

Simplifying
2p(6p + -9) = 0

Reorder the terms:
2p(-9 + 6p) = 0
(-9 * 2p + 6p * 2p) = 0
(-18p + 12p2) = 0

Solving
-18p + 12p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '6p'.
6p(-3 + 2p) = 0

Ignore the factor 6.
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 '(-3 + 2p)' equal to zero and attempt to solve:

Simplifying
-3 + 2p = 0

Solving
-3 + 2p = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2p = 0 + 3
2p = 0 + 3

Combine like terms: 0 + 3 = 3
2p = 3

Divide each side by '2'.
p = 1.5

Simplifying
p = 1.5
Solution
p = {0, 1.5}