23p=2p^2+30

Solution for 23p=2p^2+30 equation:

Simplifying
23p = 2p2 + 30

Reorder the terms:
23p = 30 + 2p2

Solving
23p = 30 + 2p2

Solving for variable 'p'.

Reorder the terms:
-30 + 23p + -2p2 = 30 + 2p2 + -30 + -2p2

Reorder the terms:
-30 + 23p + -2p2 = 30 + -30 + 2p2 + -2p2

Combine like terms: 30 + -30 = 0
-30 + 23p + -2p2 = 0 + 2p2 + -2p2
-30 + 23p + -2p2 = 2p2 + -2p2

Combine like terms: 2p2 + -2p2 = 0
-30 + 23p + -2p2 = 0

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

Subproblem 1
Set the factor '(-10 + p)' equal to zero and attempt to solve:

Simplifying
-10 + p = 0

Solving
-10 + p = 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 + p = 0 + 10

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

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

Simplifying
p = 10
Subproblem 2
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
Solution
p = {10, 1.5}