15-30p^2-15p=0

Solution for 15-30p^2-15p=0 equation:

Simplifying
15 + -30p2 + -15p = 0

Reorder the terms:
15 + -15p + -30p2 = 0

Solving
15 + -15p + -30p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '15'.
15(1 + -1p + -2p2) = 0

Factor a trinomial.
15((1 + -2p)(1 + p)) = 0

Ignore the factor 15.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve:

Simplifying
1 + p = 0

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

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

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

Simplifying
p = -1
Solution
p = {0.5, -1}