-3=2p^2-3p-5

Solution for -3=2p^2-3p-5 equation:

Simplifying
-3 = 2p2 + -3p + -5

Reorder the terms:
-3 = -5 + -3p + 2p2

Solving
-3 = -5 + -3p + 2p2

Solving for variable 'p'.

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

Reorder the terms:
2 + 3p + -2p2 = -5 + 5 + -3p + 3p + 2p2 + -2p2

Combine like terms: -5 + 5 = 0
2 + 3p + -2p2 = 0 + -3p + 3p + 2p2 + -2p2
2 + 3p + -2p2 = -3p + 3p + 2p2 + -2p2

Combine like terms: -3p + 3p = 0
2 + 3p + -2p2 = 0 + 2p2 + -2p2
2 + 3p + -2p2 = 2p2 + -2p2

Combine like terms: 2p2 + -2p2 = 0
2 + 3p + -2p2 = 0

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

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

Simplifying
2 + -1p = 0

Solving
2 + -1p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

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

Simplifying
1 + 2p = 0

Solving
1 + 2p = 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 + 2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2p = 0 + -1
2p = 0 + -1

Combine like terms: 0 + -1 = -1
2p = -1

Divide each side by '2'.
p = -0.5

Simplifying
p = -0.5
Solution
p = {2, -0.5}