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Simplifying
4m2 + -9k2 = 0
Reorder the terms:
-9k2 + 4m2 = 0
Solving
-9k2 + 4m2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-4m2' to each side of the equation.
-9k2 + 4m2 + -4m2 = 0 + -4m2
Combine like terms: 4m2 + -4m2 = 0
-9k2 + 0 = 0 + -4m2
-9k2 = 0 + -4m2
Remove the zero:
-9k2 = -4m2
Divide each side by '-9'.
k2 = 0.4444444444m2
Simplifying
k2 = 0.4444444444m2
Take the square root of each side:
k = {-0.666666667m, 0.666666667m}
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