20p^2-7p-7546=0

Solution for 20p^2-7p-7546=0 equation:

Simplifying
20p2 + -7p + -7546 = 0

Reorder the terms:
-7546 + -7p + 20p2 = 0

Solving
-7546 + -7p + 20p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-77 + -4p)(98 + -5p) = 0

Subproblem 1
Set the factor '(-77 + -4p)' equal to zero and attempt to solve:

Simplifying
-77 + -4p = 0

Solving
-77 + -4p = 0

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

Add '77' to each side of the equation.
-77 + 77 + -4p = 0 + 77

Combine like terms: -77 + 77 = 0
0 + -4p = 0 + 77
-4p = 0 + 77

Combine like terms: 0 + 77 = 77
-4p = 77

Divide each side by '-4'.
p = -19.25

Simplifying
p = -19.25
Subproblem 2
Set the factor '(98 + -5p)' equal to zero and attempt to solve:

Simplifying
98 + -5p = 0

Solving
98 + -5p = 0

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

Add '-98' to each side of the equation.
98 + -98 + -5p = 0 + -98

Combine like terms: 98 + -98 = 0
0 + -5p = 0 + -98
-5p = 0 + -98

Combine like terms: 0 + -98 = -98
-5p = -98

Divide each side by '-5'.
p = 19.6

Simplifying
p = 19.6
Solution
p = {-19.25, 19.6}