37p^2+4p-41=0

Solution for 37p^2+4p-41=0 equation:

Simplifying
37p2 + 4p + -41 = 0

Reorder the terms:
-41 + 4p + 37p2 = 0

Solving
-41 + 4p + 37p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-41 + -37p)(1 + -1p) = 0

Subproblem 1
Set the factor '(-41 + -37p)' equal to zero and attempt to solve:

Simplifying
-41 + -37p = 0

Solving
-41 + -37p = 0

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

Add '41' to each side of the equation.
-41 + 41 + -37p = 0 + 41

Combine like terms: -41 + 41 = 0
0 + -37p = 0 + 41
-37p = 0 + 41

Combine like terms: 0 + 41 = 41
-37p = 41

Divide each side by '-37'.
p = -1.108108108

Simplifying
p = -1.108108108
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 = {-1.108108108, 1}