9p^2+16p-20=5p^2

Solution for 9p^2+16p-20=5p^2 equation:

Simplifying
9p2 + 16p + -20 = 5p2

Reorder the terms:
-20 + 16p + 9p2 = 5p2

Solving
-20 + 16p + 9p2 = 5p2

Solving for variable 'p'.

Combine like terms: 9p2 + -5p2 = 4p2
-20 + 16p + 4p2 = 5p2 + -5p2

Combine like terms: 5p2 + -5p2 = 0
-20 + 16p + 4p2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + 4p + p2) = 0

Factor a trinomial.
4((-5 + -1p)(1 + -1p)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve:

Simplifying
-5 + -1p = 0

Solving
-5 + -1p = 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 + -1p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1p = 0 + 5
-1p = 0 + 5

Combine like terms: 0 + 5 = 5
-1p = 5

Divide each side by '-1'.
p = -5

Simplifying
p = -5
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

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

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

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

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

Simplifying
p = 1
Solution
p = {-5, 1}