6p^2=30+11p

Solution for 6p^2=30+11p equation:

Simplifying
6p2 = 30 + 11p

Solving
6p2 = 30 + 11p

Solving for variable 'p'.

Reorder the terms:
-30 + -11p + 6p2 = 30 + 11p + -30 + -11p

Reorder the terms:
-30 + -11p + 6p2 = 30 + -30 + 11p + -11p

Combine like terms: 30 + -30 = 0
-30 + -11p + 6p2 = 0 + 11p + -11p
-30 + -11p + 6p2 = 11p + -11p

Combine like terms: 11p + -11p = 0
-30 + -11p + 6p2 = 0

Factor a trinomial.
(-3 + -2p)(10 + -3p) = 0

Subproblem 1
Set the factor '(-3 + -2p)' equal to zero and attempt to solve:

Simplifying
-3 + -2p = 0

Solving
-3 + -2p = 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 + -2p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2p = 0 + 3
-2p = 0 + 3

Combine like terms: 0 + 3 = 3
-2p = 3

Divide each side by '-2'.
p = -1.5

Simplifying
p = -1.5
Subproblem 2
Set the factor '(10 + -3p)' equal to zero and attempt to solve:

Simplifying
10 + -3p = 0

Solving
10 + -3p = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3p = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3p = 0 + -10
-3p = 0 + -10

Combine like terms: 0 + -10 = -10
-3p = -10

Divide each side by '-3'.
p = 3.333333333

Simplifying
p = 3.333333333
Solution
p = {-1.5, 3.333333333}