2p^2=60+7p

Solution for 2p^2=60+7p equation:

Simplifying
2p2 = 60 + 7p

Solving
2p2 = 60 + 7p

Solving for variable 'p'.

Reorder the terms:
-60 + -7p + 2p2 = 60 + 7p + -60 + -7p

Reorder the terms:
-60 + -7p + 2p2 = 60 + -60 + 7p + -7p

Combine like terms: 60 + -60 = 0
-60 + -7p + 2p2 = 0 + 7p + -7p
-60 + -7p + 2p2 = 7p + -7p

Combine like terms: 7p + -7p = 0
-60 + -7p + 2p2 = 0

Factor a trinomial.
(-4 + -1p)(15 + -2p) = 0

Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve:

Simplifying
-4 + -1p = 0

Solving
-4 + -1p = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1p = 0 + 4
-1p = 0 + 4

Combine like terms: 0 + 4 = 4
-1p = 4

Divide each side by '-1'.
p = -4

Simplifying
p = -4
Subproblem 2
Set the factor '(15 + -2p)' equal to zero and attempt to solve:

Simplifying
15 + -2p = 0

Solving
15 + -2p = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2p = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2p = 0 + -15
-2p = 0 + -15

Combine like terms: 0 + -15 = -15
-2p = -15

Divide each side by '-2'.
p = 7.5

Simplifying
p = 7.5
Solution
p = {-4, 7.5}