6k^2+1=7k

Solution for 6k^2+1=7k equation:

Simplifying
6k2 + 1 = 7k

Reorder the terms:
1 + 6k2 = 7k

Solving
1 + 6k2 = 7k

Solving for variable 'k'.

Reorder the terms:
1 + -7k + 6k2 = 7k + -7k

Combine like terms: 7k + -7k = 0
1 + -7k + 6k2 = 0

Factor a trinomial.
(1 + -6k)(1 + -1k) = 0

Subproblem 1
Set the factor '(1 + -6k)' equal to zero and attempt to solve:

Simplifying
1 + -6k = 0

Solving
1 + -6k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6k = 0 + -1
-6k = 0 + -1

Combine like terms: 0 + -1 = -1
-6k = -1

Divide each side by '-6'.
k = 0.1666666667

Simplifying
k = 0.1666666667
Subproblem 2
Set the factor '(1 + -1k)' equal to zero and attempt to solve:

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

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

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

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

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

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

Simplifying
k = 1
Solution
k = {0.1666666667, 1}