a^2-32a-68=0

Solution for a^2-32a-68=0 equation:

Simplifying
a2 + -32a + -68 = 0

Reorder the terms:
-68 + -32a + a2 = 0

Solving
-68 + -32a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-2 + -1a)(34 + -1a) = 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 '(34 + -1a)' equal to zero and attempt to solve:

Simplifying
34 + -1a = 0

Solving
34 + -1a = 0

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

Add '-34' to each side of the equation.
34 + -34 + -1a = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -1a = 0 + -34
-1a = 0 + -34

Combine like terms: 0 + -34 = -34
-1a = -34

Divide each side by '-1'.
a = 34

Simplifying
a = 34
Solution
a = {-2, 34}