2a^2-25a+72=0

Solution for 2a^2-25a+72=0 equation:

Simplifying
2a2 + -25a + 72 = 0

Reorder the terms:
72 + -25a + 2a2 = 0

Solving
72 + -25a + 2a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(9 + -2a)(8 + -1a) = 0

Subproblem 1
Set the factor '(9 + -2a)' equal to zero and attempt to solve:

Simplifying
9 + -2a = 0

Solving
9 + -2a = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2a = 0 + -9
-2a = 0 + -9

Combine like terms: 0 + -9 = -9
-2a = -9

Divide each side by '-2'.
a = 4.5

Simplifying
a = 4.5
Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8
Solution
a = {4.5, 8}