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 + p) = 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 + 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
Solution
p = {-2.5, -1}