-2p^2+7p+3=8

Solution for -2p^2+7p+3=8 equation:

Simplifying
-2p2 + 7p + 3 = 8

Reorder the terms:
3 + 7p + -2p2 = 8

Solving
3 + 7p + -2p2 = 8

Solving for variable 'p'.

Reorder the terms:
3 + -8 + 7p + -2p2 = 8 + -8

Combine like terms: 3 + -8 = -5
-5 + 7p + -2p2 = 8 + -8

Combine like terms: 8 + -8 = 0
-5 + 7p + -2p2 = 0

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

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

Simplifying
-5 + 2p = 0

Solving
-5 + 2p = 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 + 2p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2p = 0 + 5
2p = 0 + 5

Combine like terms: 0 + 5 = 5
2p = 5

Divide each side by '2'.
p = 2.5

Simplifying
p = 2.5
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 = {2.5, 1}