10k^2-490=0

Solution for 10k^2-490=0 equation:

Simplifying
10k2 + -490 = 0

Reorder the terms:
-490 + 10k2 = 0

Solving
-490 + 10k2 = 0

Solving for variable 'k'.

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

Add '490' to each side of the equation.
-490 + 490 + 10k2 = 0 + 490

Combine like terms: -490 + 490 = 0
0 + 10k2 = 0 + 490
10k2 = 0 + 490

Combine like terms: 0 + 490 = 490
10k2 = 490

Divide each side by '10'.
k2 = 49

Simplifying
k2 = 49

Take the square root of each side:
k = {-7, 7}