-p^2+46p-45=0

Solution for -p^2+46p-45=0 equation:

Simplifying
-1p2 + 46p + -45 = 0

Reorder the terms:
-45 + 46p + -1p2 = 0

Solving
-45 + 46p + -1p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-45 + p)(1 + -1p) = 0

Subproblem 1
Set the factor '(-45 + p)' equal to zero and attempt to solve:

Simplifying
-45 + p = 0

Solving
-45 + p = 0

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

Add '45' to each side of the equation.
-45 + 45 + p = 0 + 45

Combine like terms: -45 + 45 = 0
0 + p = 0 + 45
p = 0 + 45

Combine like terms: 0 + 45 = 45
p = 45

Simplifying
p = 45
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

Solving
1 + -1p = 0

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

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

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

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

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

Simplifying
p = 1
Solution
p = {45, 1}