a^2-35a+300=

Solution for a^2-35a+300= equation:

Simplifying
a2 + -35a + 300 = 0

Reorder the terms:
300 + -35a + a2 = 0

Solving
300 + -35a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(15 + -1a)(20 + -1a) = 0

Subproblem 1
Set the factor '(15 + -1a)' equal to zero and attempt to solve:

Simplifying
15 + -1a = 0

Solving
15 + -1a = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1a = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1a = 0 + -15
-1a = 0 + -15

Combine like terms: 0 + -15 = -15
-1a = -15

Divide each side by '-1'.
a = 15

Simplifying
a = 15
Subproblem 2
Set the factor '(20 + -1a)' equal to zero and attempt to solve:

Simplifying
20 + -1a = 0

Solving
20 + -1a = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1a = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1a = 0 + -20
-1a = 0 + -20

Combine like terms: 0 + -20 = -20
-1a = -20

Divide each side by '-1'.
a = 20

Simplifying
a = 20
Solution
a = {15, 20}