2p^2=26p-60

Solution for 2p^2=26p-60 equation:

Simplifying
2p2 = 26p + -60

Reorder the terms:
2p2 = -60 + 26p

Solving
2p2 = -60 + 26p

Solving for variable 'p'.

Reorder the terms:
60 + -26p + 2p2 = -60 + 26p + 60 + -26p

Reorder the terms:
60 + -26p + 2p2 = -60 + 60 + 26p + -26p

Combine like terms: -60 + 60 = 0
60 + -26p + 2p2 = 0 + 26p + -26p
60 + -26p + 2p2 = 26p + -26p

Combine like terms: 26p + -26p = 0
60 + -26p + 2p2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + -13p + p2) = 0

Factor a trinomial.
2((3 + -1p)(10 + -1p)) = 0

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

Simplifying
3 + -1p = 0

Solving
3 + -1p = 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 + -1p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1p = 0 + -3
-1p = 0 + -3

Combine like terms: 0 + -3 = -3
-1p = -3

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Subproblem 2
Set the factor '(10 + -1p)' equal to zero and attempt to solve:

Simplifying
10 + -1p = 0

Solving
10 + -1p = 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 + -1p = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1p = 0 + -10
-1p = 0 + -10

Combine like terms: 0 + -10 = -10
-1p = -10

Divide each side by '-1'.
p = 10

Simplifying
p = 10
Solution
p = {3, 10}