8=5-7p^2+10p

Solution for 8=5-7p^2+10p equation:

Simplifying
8 = 5 + -7p2 + 10p

Reorder the terms:
8 = 5 + 10p + -7p2

Solving
8 = 5 + 10p + -7p2

Solving for variable 'p'.

Combine like terms: 8 + -5 = 3
3 + -10p + 7p2 = 5 + 10p + -7p2 + -5 + -10p + 7p2

Reorder the terms:
3 + -10p + 7p2 = 5 + -5 + 10p + -10p + -7p2 + 7p2

Combine like terms: 5 + -5 = 0
3 + -10p + 7p2 = 0 + 10p + -10p + -7p2 + 7p2
3 + -10p + 7p2 = 10p + -10p + -7p2 + 7p2

Combine like terms: 10p + -10p = 0
3 + -10p + 7p2 = 0 + -7p2 + 7p2
3 + -10p + 7p2 = -7p2 + 7p2

Combine like terms: -7p2 + 7p2 = 0
3 + -10p + 7p2 = 0

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

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 + -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 = {0.4285714286, 1}