3x^2-20kx-7k^2=0

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Solution for 3x^2-20kx-7k^2=0 equation: 


Simplifying
3x2 + -20kx + -7k2 = 0

Reorder the terms:
-20kx + -7k2 + 3x2 = 0

Solving
-20kx + -7k2 + 3x2 = 0

Solving for variable 'k'.

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


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

Simplifying
-1k + -3x = 0

Solving
-1k + -3x = 0

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

Add '3x' to each side of the equation.
-1k + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
-1k + 0 = 0 + 3x
-1k = 0 + 3x
Remove the zero:
-1k = 3x

Divide each side by '-1'.
k = -3x

Simplifying
k = -3x

Subproblem 2
Set the factor '(7k + -1x)' equal to zero and attempt to solve:

Simplifying
7k + -1x = 0

Solving
7k + -1x = 0

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

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

Combine like terms: -1x + x = 0
7k + 0 = 0 + x
7k = 0 + x
Remove the zero:
7k = x

Divide each side by '7'.
k = 0.1428571429x

Simplifying
k = 0.1428571429x
Solution
k = {-3x, 0.1428571429x}

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