4a^2-61a+225=

Solution for 4a^2-61a+225= equation:

Simplifying
4a2 + -61a + 225 = 0

Reorder the terms:
225 + -61a + 4a2 = 0

Solving
225 + -61a + 4a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(25 + -4a)(9 + -1a) = 0

Subproblem 1
Set the factor '(25 + -4a)' equal to zero and attempt to solve:

Simplifying
25 + -4a = 0

Solving
25 + -4a = 0

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

Add '-25' to each side of the equation.
25 + -25 + -4a = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -4a = 0 + -25
-4a = 0 + -25

Combine like terms: 0 + -25 = -25
-4a = -25

Divide each side by '-4'.
a = 6.25

Simplifying
a = 6.25
Subproblem 2
Set the factor '(9 + -1a)' equal to zero and attempt to solve:

Simplifying
9 + -1a = 0

Solving
9 + -1a = 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 + -1a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1a = 0 + -9
-1a = 0 + -9

Combine like terms: 0 + -9 = -9
-1a = -9

Divide each side by '-1'.
a = 9

Simplifying
a = 9
Solution
a = {6.25, 9}