a^2-9a=-30+2a

Solution for a^2-9a=-30+2a equation:

Simplifying
a2 + -9a = -30 + 2a

Reorder the terms:
-9a + a2 = -30 + 2a

Solving
-9a + a2 = -30 + 2a

Solving for variable 'a'.

Reorder the terms:
30 + -9a + -2a + a2 = -30 + 2a + 30 + -2a

Combine like terms: -9a + -2a = -11a
30 + -11a + a2 = -30 + 2a + 30 + -2a

Reorder the terms:
30 + -11a + a2 = -30 + 30 + 2a + -2a

Combine like terms: -30 + 30 = 0
30 + -11a + a2 = 0 + 2a + -2a
30 + -11a + a2 = 2a + -2a

Combine like terms: 2a + -2a = 0
30 + -11a + a2 = 0

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

Subproblem 1
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
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 = {5, 6}