=a^2-11a+30

Solution for =a^2-11a+30 equation:

Simplifying
0 = a2 + -11a + 30

Reorder the terms:
0 = 30 + -11a + a2

Solving
0 = 30 + -11a + a2

Solving for variable 'a'.

Combine like terms: 0 + -30 = -30
-30 + 11a + -1a2 = 30 + -11a + a2 + -30 + 11a + -1a2

Reorder the terms:
-30 + 11a + -1a2 = 30 + -30 + -11a + 11a + a2 + -1a2

Combine like terms: 30 + -30 = 0
-30 + 11a + -1a2 = 0 + -11a + 11a + a2 + -1a2
-30 + 11a + -1a2 = -11a + 11a + a2 + -1a2

Combine like terms: -11a + 11a = 0
-30 + 11a + -1a2 = 0 + a2 + -1a2
-30 + 11a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-30 + 11a + -1a2 = 0

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

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

Simplifying
-6 + a = 0

Solving
-6 + a = 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 + a = 0 + 6

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

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

Simplifying
a = 6
Subproblem 2
Set the factor '(5 + -1a)' equal to zero and attempt to solve:

Simplifying
5 + -1a = 0

Solving
5 + -1a = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1a = 0 + -5
-1a = 0 + -5

Combine like terms: 0 + -5 = -5
-1a = -5

Divide each side by '-1'.
a = 5

Simplifying
a = 5
Solution
a = {6, 5}