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

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

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

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

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

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

Solving for variable 'p'.

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

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

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

Reorder the terms:
-3 + 8p + 3p2 = -5p + 5p + 2p2 + -2p2

Combine like terms: -5p + 5p = 0
-3 + 8p + 3p2 = 0 + 2p2 + -2p2
-3 + 8p + 3p2 = 2p2 + -2p2

Combine like terms: 2p2 + -2p2 = 0
-3 + 8p + 3p2 = 0

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

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

Simplifying
-3 + -1p = 0

Solving
-3 + -1p = 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 + -1p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3

Combine like terms: 0 + 3 = 3
-1p = 3

Divide each side by '-1'.
p = -3

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

Simplifying
1 + -3p = 0

Solving
1 + -3p = 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 + -3p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3p = 0 + -1
-3p = 0 + -1

Combine like terms: 0 + -1 = -1
-3p = -1

Divide each side by '-3'.
p = 0.3333333333

Simplifying
p = 0.3333333333
Solution
p = {-3, 0.3333333333}