6p^2-17p-45=0

Solution for 6p^2-17p-45=0 equation:

Simplifying
6p2 + -17p + -45 = 0

Reorder the terms:
-45 + -17p + 6p2 = 0

Solving
-45 + -17p + 6p2 = 0

Solving for variable 'p'.

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

Subproblem 1
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
Subproblem 2
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
Solution
p = {-1.666666667, 4.5}