70p^2-65p+15=0

Solution for 70p^2-65p+15=0 equation:

Simplifying
70p2 + -65p + 15 = 0

Reorder the terms:
15 + -65p + 70p2 = 0

Solving
15 + -65p + 70p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -13p + 14p2) = 0

Factor a trinomial.
5((3 + -7p)(1 + -2p)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(3 + -7p)' equal to zero and attempt to solve:

Simplifying
3 + -7p = 0

Solving
3 + -7p = 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 + -7p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7p = 0 + -3
-7p = 0 + -3

Combine like terms: 0 + -3 = -3
-7p = -3

Divide each side by '-7'.
p = 0.4285714286

Simplifying
p = 0.4285714286
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 = {0.4285714286, 0.5}