10p^2-16p=-6

Solution for 10p^2-16p=-6 equation:

Simplifying
10p2 + -16p = -6

Reorder the terms:
-16p + 10p2 = -6

Solving
-16p + 10p2 = -6

Solving for variable 'p'.

Reorder the terms:
6 + -16p + 10p2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -16p + 10p2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -8p + 5p2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -5p)' equal to zero and attempt to solve:

Simplifying
3 + -5p = 0

Solving
3 + -5p = 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 + -5p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5p = 0 + -3
-5p = 0 + -3

Combine like terms: 0 + -3 = -3
-5p = -3

Divide each side by '-5'.
p = 0.6

Simplifying
p = 0.6
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

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

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

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

Divide each side by '-1'.
p = 1

Simplifying
p = 1
Solution
p = {0.6, 1}