5p^2-18p=-16

Solution for 5p^2-18p=-16 equation:

Simplifying
5p2 + -18p = -16

Reorder the terms:
-18p + 5p2 = -16

Solving
-18p + 5p2 = -16

Solving for variable 'p'.

Reorder the terms:
16 + -18p + 5p2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + -18p + 5p2 = 0

Factor a trinomial.
(8 + -5p)(2 + -1p) = 0

Subproblem 1
Set the factor '(8 + -5p)' equal to zero and attempt to solve:

Simplifying
8 + -5p = 0

Solving
8 + -5p = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5p = 0 + -8
-5p = 0 + -8

Combine like terms: 0 + -8 = -8
-5p = -8

Divide each side by '-5'.
p = 1.6

Simplifying
p = 1.6
Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Solution
p = {1.6, 2}