a^2+16a=17

Solution for a^2+16a=17 equation:

Simplifying
a2 + 16a = 17

Reorder the terms:
16a + a2 = 17

Solving
16a + a2 = 17

Solving for variable 'a'.

Reorder the terms:
-17 + 16a + a2 = 17 + -17

Combine like terms: 17 + -17 = 0
-17 + 16a + a2 = 0

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

Subproblem 1
Set the factor '(-17 + -1a)' equal to zero and attempt to solve:

Simplifying
-17 + -1a = 0

Solving
-17 + -1a = 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 + -1a = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1a = 0 + 17
-1a = 0 + 17

Combine like terms: 0 + 17 = 17
-1a = 17

Divide each side by '-1'.
a = -17

Simplifying
a = -17
Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

Solving
1 + -1a = 0

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

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

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

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

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

Simplifying
a = 1
Solution
a = {-17, 1}