K^2-35-2K=0

Solution for K^2-35-2K=0 equation:

Simplifying
K2 + -35 + -2K = 0

Reorder the terms:
-35 + -2K + K2 = 0

Solving
-35 + -2K + K2 = 0

Solving for variable 'K'.

Factor a trinomial.
(-5 + -1K)(7 + -1K) = 0

Subproblem 1
Set the factor '(-5 + -1K)' equal to zero and attempt to solve:

Simplifying
-5 + -1K = 0

Solving
-5 + -1K = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1K = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1K = 0 + 5
-1K = 0 + 5

Combine like terms: 0 + 5 = 5
-1K = 5

Divide each side by '-1'.
K = -5

Simplifying
K = -5
Subproblem 2
Set the factor '(7 + -1K)' equal to zero and attempt to solve:

Simplifying
7 + -1K = 0

Solving
7 + -1K = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1K = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1K = 0 + -7
-1K = 0 + -7

Combine like terms: 0 + -7 = -7
-1K = -7

Divide each side by '-1'.
K = 7

Simplifying
K = 7
Solution
K = {-5, 7}