-a^2-15a+34=

Solution for -a^2-15a+34= equation:

Simplifying
-1a2 + -15a + 34 = 0

Reorder the terms:
34 + -15a + -1a2 = 0

Solving
34 + -15a + -1a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -1a)(17 + a) = 0

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

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Subproblem 2
Set the factor '(17 + a)' equal to zero and attempt to solve:

Simplifying
17 + a = 0

Solving
17 + a = 0

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

Add '-17' to each side of the equation.
17 + -17 + a = 0 + -17

Combine like terms: 17 + -17 = 0
0 + a = 0 + -17
a = 0 + -17

Combine like terms: 0 + -17 = -17
a = -17

Simplifying
a = -17
Solution
a = {2, -17}