30((p^2)-1)=11p

Solution for 30((p^2)-1)=11p equation:

Simplifying
30((p2) + -1) = 11p
30(p2 + -1) = 11p

Reorder the terms:
30(-1 + p2) = 11p
(-1 * 30 + p2 * 30) = 11p
(-30 + 30p2) = 11p

Solving
-30 + 30p2 = 11p

Solving for variable 'p'.

Reorder the terms:
-30 + -11p + 30p2 = 11p + -11p

Combine like terms: 11p + -11p = 0
-30 + -11p + 30p2 = 0

Factor a trinomial.
(-5 + -6p)(6 + -5p) = 0

Subproblem 1
Set the factor '(-5 + -6p)' equal to zero and attempt to solve:

Simplifying
-5 + -6p = 0

Solving
-5 + -6p = 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 + -6p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6p = 0 + 5
-6p = 0 + 5

Combine like terms: 0 + 5 = 5
-6p = 5

Divide each side by '-6'.
p = -0.8333333333

Simplifying
p = -0.8333333333
Subproblem 2
Set the factor '(6 + -5p)' equal to zero and attempt to solve:

Simplifying
6 + -5p = 0

Solving
6 + -5p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5p = 0 + -6
-5p = 0 + -6

Combine like terms: 0 + -6 = -6
-5p = -6

Divide each side by '-5'.
p = 1.2

Simplifying
p = 1.2
Solution
p = {-0.8333333333, 1.2}