What is the solution set for - a^2 = 81-18a

Step-by-step explanation:

-a^2 = 81-18a

a^2 - 18a + 81 = 0

a^2 - 9a - 9a + 81 = 0

(a^2 - 9a) - (9a - 81) = 0

a (a - 9) - 9 (a - 9) = 0

(a - 9) (a - 9) = 0

a - 9 = 0 or a - 9 = 0

a = 9 or a = 9

a = 9

Step-by-step explanation:

-a^2 = 81 - 18a = 0

Rearranging the equation becomes:

a^2 - 18a + 81 = 0

Solving the quadratic equation:

a^2 - 9a - 9a + 81 = 0

a (a - 9) - 9 (a - 9) = 0

(a - 9) (a-9) = 0

Theresfore,

a = + 9

a = 9