(30p^2)-(11p)-30=0

Solution for (30p^2)-(11p)-30=0 equation:

Simplifying
(30p2) + -1(11p) + -30 = 0

Remove parenthesis around (11p)
(30p2) + -1 * 11p + -30 = 0

Multiply -1 * 11
(30p2) + -11p + -30 = 0

Reorder the terms:
-30 + -11p + (30p2) = 0

Solving
-30 + -11p + (30p2) = 0

Solving for variable 'p'.

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}