4p^2-15p+9=0

Solution for 4p^2-15p+9=0 equation:

Simplifying
4p2 + -15p + 9 = 0

Reorder the terms:
9 + -15p + 4p2 = 0

Solving
9 + -15p + 4p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(3 + -4p)(3 + -1p) = 0

Subproblem 1
Set the factor '(3 + -4p)' equal to zero and attempt to solve:

Simplifying
3 + -4p = 0

Solving
3 + -4p = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4p = 0 + -3
-4p = 0 + -3

Combine like terms: 0 + -3 = -3
-4p = -3

Divide each side by '-4'.
p = 0.75

Simplifying
p = 0.75
Subproblem 2
Set the factor '(3 + -1p)' equal to zero and attempt to solve:

Simplifying
3 + -1p = 0

Solving
3 + -1p = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1p = 0 + -3
-1p = 0 + -3

Combine like terms: 0 + -3 = -3
-1p = -3

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Solution
p = {0.75, 3}