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Simplifying
-4k2 + 81 = 0
Reorder the terms:
81 + -4k2 = 0
Solving
81 + -4k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-81' to each side of the equation.
81 + -81 + -4k2 = 0 + -81
Combine like terms: 81 + -81 = 0
0 + -4k2 = 0 + -81
-4k2 = 0 + -81
Combine like terms: 0 + -81 = -81
-4k2 = -81
Divide each side by '-4'.
k2 = 20.25
Simplifying
k2 = 20.25
Take the square root of each side:
k = {-4.5, 4.5}
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