6p^2-3p=0

Solution for 6p^2-3p=0 equation:

Simplifying
6p2 + -3p = 0

Reorder the terms:
-3p + 6p2 = 0

Solving
-3p + 6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3p'.
3p(-1 + 2p) = 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 '(-1 + 2p)' equal to zero and attempt to solve:

Simplifying
-1 + 2p = 0

Solving
-1 + 2p = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2p = 0 + 1
2p = 0 + 1

Combine like terms: 0 + 1 = 1
2p = 1

Divide each side by '2'.
p = 0.5

Simplifying
p = 0.5
Solution
p = {0, 0.5}