6k^2+9k^2-42=0

Solution for 6k^2+9k^2-42=0 equation:

Simplifying
6k2 + 9k2 + -42 = 0

Reorder the terms:
-42 + 6k2 + 9k2 = 0

Combine like terms: 6k2 + 9k2 = 15k2
-42 + 15k2 = 0

Solving
-42 + 15k2 = 0

Solving for variable 'k'.

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

Add '42' to each side of the equation.
-42 + 42 + 15k2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 15k2 = 0 + 42
15k2 = 0 + 42

Combine like terms: 0 + 42 = 42
15k2 = 42

Divide each side by '15'.
k2 = 2.8

Simplifying
k2 = 2.8

Take the square root of each side:
k = {-1.673320053, 1.673320053}