5a^2-28a+36=0

Solution for 5a^2-28a+36=0 equation:

Simplifying
5a2 + -28a + 36 = 0

Reorder the terms:
36 + -28a + 5a2 = 0

Solving
36 + -28a + 5a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -1a)(18 + -5a) = 0

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

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

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

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

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

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

Simplifying
a = 2
Subproblem 2
Set the factor '(18 + -5a)' equal to zero and attempt to solve:

Simplifying
18 + -5a = 0

Solving
18 + -5a = 0

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

Add '-18' to each side of the equation.
18 + -18 + -5a = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -5a = 0 + -18
-5a = 0 + -18

Combine like terms: 0 + -18 = -18
-5a = -18

Divide each side by '-5'.
a = 3.6

Simplifying
a = 3.6
Solution
a = {2, 3.6}