6p^2+37p+45=0

Solution for 6p^2+37p+45=0 equation:

Simplifying
6p2 + 37p + 45 = 0

Reorder the terms:
45 + 37p + 6p2 = 0

Solving
45 + 37p + 6p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(9 + 2p)(5 + 3p) = 0

Subproblem 1
Set the factor '(9 + 2p)' equal to zero and attempt to solve:

Simplifying
9 + 2p = 0

Solving
9 + 2p = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2p = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2p = 0 + -9
2p = 0 + -9

Combine like terms: 0 + -9 = -9
2p = -9

Divide each side by '2'.
p = -4.5

Simplifying
p = -4.5
Subproblem 2
Set the factor '(5 + 3p)' equal to zero and attempt to solve:

Simplifying
5 + 3p = 0

Solving
5 + 3p = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3p = 0 + -5
3p = 0 + -5

Combine like terms: 0 + -5 = -5
3p = -5

Divide each side by '3'.
p = -1.666666667

Simplifying
p = -1.666666667
Solution
p = {-4.5, -1.666666667}