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

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

Simplifying
5p2 + 2p + -3p2 = 0

Reorder the terms:
2p + 5p2 + -3p2 = 0

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

Solving
2p + 2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2p'.
2p(1 + p) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
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 = {0, -1}