5a^2-33a+26=8

Solution for 5a^2-33a+26=8 equation:

Simplifying
5a2 + -33a + 26 = 8

Reorder the terms:
26 + -33a + 5a2 = 8

Solving
26 + -33a + 5a2 = 8

Solving for variable 'a'.

Reorder the terms:
26 + -8 + -33a + 5a2 = 8 + -8

Combine like terms: 26 + -8 = 18
18 + -33a + 5a2 = 8 + -8

Combine like terms: 8 + -8 = 0
18 + -33a + 5a2 = 0

Factor a trinomial.
(3 + -5a)(6 + -1a) = 0

Subproblem 1
Set the factor '(3 + -5a)' equal to zero and attempt to solve:

Simplifying
3 + -5a = 0

Solving
3 + -5a = 0

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

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

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

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

Divide each side by '-5'.
a = 0.6

Simplifying
a = 0.6
Subproblem 2
Set the factor '(6 + -1a)' equal to zero and attempt to solve:

Simplifying
6 + -1a = 0

Solving
6 + -1a = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 0 + -6
-1a = 0 + -6

Combine like terms: 0 + -6 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6
Solution
a = {0.6, 6}