20(p^2-1)=9p

Solution for 20(p^2-1)=9p equation:

Simplifying
20(p2 + -1) = 9p

Reorder the terms:
20(-1 + p2) = 9p
(-1 * 20 + p2 * 20) = 9p
(-20 + 20p2) = 9p

Solving
-20 + 20p2 = 9p

Solving for variable 'p'.

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

Combine like terms: 9p + -9p = 0
-20 + -9p + 20p2 = 0

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

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

Simplifying
-4 + -5p = 0

Solving
-4 + -5p = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5p = 0 + 4

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

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

Divide each side by '-5'.
p = -0.8

Simplifying
p = -0.8
Subproblem 2
Set the factor '(5 + -4p)' equal to zero and attempt to solve:

Simplifying
5 + -4p = 0

Solving
5 + -4p = 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 + -4p = 0 + -5

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

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

Divide each side by '-4'.
p = 1.25

Simplifying
p = 1.25
Solution
p = {-0.8, 1.25}