(k-2)(7k-3)=0

Solution for (k-2)(7k-3)=0 equation:

Simplifying
(k + -2)(7k + -3) = 0

Reorder the terms:
(-2 + k)(7k + -3) = 0

Reorder the terms:
(-2 + k)(-3 + 7k) = 0

Multiply (-2 + k) * (-3 + 7k)
(-2(-3 + 7k) + k(-3 + 7k)) = 0
((-3 * -2 + 7k * -2) + k(-3 + 7k)) = 0
((6 + -14k) + k(-3 + 7k)) = 0
(6 + -14k + (-3 * k + 7k * k)) = 0
(6 + -14k + (-3k + 7k2)) = 0

Combine like terms: -14k + -3k = -17k
(6 + -17k + 7k2) = 0

Solving
6 + -17k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(3 + -7k)(2 + -1k) = 0

Subproblem 1
Set the factor '(3 + -7k)' equal to zero and attempt to solve:

Simplifying
3 + -7k = 0

Solving
3 + -7k = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7k = 0 + -3
-7k = 0 + -3

Combine like terms: 0 + -3 = -3
-7k = -3

Divide each side by '-7'.
k = 0.4285714286

Simplifying
k = 0.4285714286
Subproblem 2
Set the factor '(2 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {0.4285714286, 2}