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Simplifying
81k2 + -7 = 5
Reorder the terms:
-7 + 81k2 = 5
Solving
-7 + 81k2 = 5
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 81k2 = 5 + 7
Combine like terms: -7 + 7 = 0
0 + 81k2 = 5 + 7
81k2 = 5 + 7
Combine like terms: 5 + 7 = 12
81k2 = 12
Divide each side by '81'.
k2 = 0.1481481481
Simplifying
k2 = 0.1481481481
Take the square root of each side:
k = {-0.384900179, 0.384900179}
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