4p^2-p=0

Solution for 4p^2-p=0 equation:

Simplifying
4p2 + -1p = 0

Reorder the terms:
-1p + 4p2 = 0

Solving
-1p + 4p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-1 + 4p) = 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 '(-1 + 4p)' equal to zero and attempt to solve:

Simplifying
-1 + 4p = 0

Solving
-1 + 4p = 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 + 4p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4p = 0 + 1
4p = 0 + 1

Combine like terms: 0 + 1 = 1
4p = 1

Divide each side by '4'.
p = 0.25

Simplifying
p = 0.25
Solution
p = {0, 0.25}