16p^2+10p+1=

Solution for 16p^2+10p+1= equation:

Simplifying
16p2 + 10p + 1 = 0

Reorder the terms:
1 + 10p + 16p2 = 0

Solving
1 + 10p + 16p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(1 + 2p)(1 + 8p) = 0

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 + 8p)' equal to zero and attempt to solve:

Simplifying
1 + 8p = 0

Solving
1 + 8p = 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 + 8p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8p = 0 + -1
8p = 0 + -1

Combine like terms: 0 + -1 = -1
8p = -1

Divide each side by '8'.
p = -0.125

Simplifying
p = -0.125
Solution
p = {-0.5, -0.125}