(k*k)-12k+35=0

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Solution for (k*k)-12k+35=0 equation:


Simplifying
(k * k) + -12k + 35 = 0

Multiply k * k
(k2) + -12k + 35 = 0
k2 + -12k + 35 = 0

Reorder the terms:
35 + -12k + k2 = 0

Solving
35 + -12k + 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}

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