p^2-43p+120=0

Solution for p^2-43p+120=0 equation:

Simplifying
p2 + -43p + 120 = 0

Reorder the terms:
120 + -43p + p2 = 0

Solving
120 + -43p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(3 + -1p)(40 + -1p) = 0

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 '(40 + -1p)' equal to zero and attempt to solve:

Simplifying
40 + -1p = 0

Solving
40 + -1p = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1p = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1p = 0 + -40
-1p = 0 + -40

Combine like terms: 0 + -40 = -40
-1p = -40

Divide each side by '-1'.
p = 40

Simplifying
p = 40
Solution
p = {3, 40}