9p^2+7p-4p^2-2p=

Solution for 9p^2+7p-4p^2-2p= equation:

Simplifying
9p2 + 7p + -4p2 + -2p = 0

Reorder the terms:
7p + -2p + 9p2 + -4p2 = 0

Combine like terms: 7p + -2p = 5p
5p + 9p2 + -4p2 = 0

Combine like terms: 9p2 + -4p2 = 5p2
5p + 5p2 = 0

Solving
5p + 5p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '5p'.
5p(1 + p) = 0

Ignore the factor 5.
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}