-16p^2+26p-10=0

Solution for -16p^2+26p-10=0 equation:

Simplifying
-16p2 + 26p + -10 = 0

Reorder the terms:
-10 + 26p + -16p2 = 0

Solving
-10 + 26p + -16p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 13p + -8p2) = 0

Factor a trinomial.
2((-1 + p)(5 + -8p)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(5 + -8p)' equal to zero and attempt to solve:

Simplifying
5 + -8p = 0

Solving
5 + -8p = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8p = 0 + -5
-8p = 0 + -5

Combine like terms: 0 + -5 = -5
-8p = -5

Divide each side by '-8'.
p = 0.625

Simplifying
p = 0.625
Solution
p = {1, 0.625}