15(p^2-1)=16p

Solution for 15(p^2-1)=16p equation:

Simplifying
15(p2 + -1) = 16p

Reorder the terms:
15(-1 + p2) = 16p
(-1 * 15 + p2 * 15) = 16p
(-15 + 15p2) = 16p

Solving
-15 + 15p2 = 16p

Solving for variable 'p'.

Reorder the terms:
-15 + -16p + 15p2 = 16p + -16p

Combine like terms: 16p + -16p = 0
-15 + -16p + 15p2 = 0

Factor a trinomial.
(-3 + -5p)(5 + -3p) = 0

Subproblem 1
Set the factor '(-3 + -5p)' equal to zero and attempt to solve:

Simplifying
-3 + -5p = 0

Solving
-3 + -5p = 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 + -5p = 0 + 3

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

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

Divide each side by '-5'.
p = -0.6

Simplifying
p = -0.6
Subproblem 2
Set the factor '(5 + -3p)' equal to zero and attempt to solve:

Simplifying
5 + -3p = 0

Solving
5 + -3p = 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 + -3p = 0 + -5

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

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

Divide each side by '-3'.
p = 1.666666667

Simplifying
p = 1.666666667
Solution
p = {-0.6, 1.666666667}