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Simplifying
5k2 + 5 + 6k2 + -8 = 0
Reorder the terms:
5 + -8 + 5k2 + 6k2 = 0
Combine like terms: 5 + -8 = -3
-3 + 5k2 + 6k2 = 0
Combine like terms: 5k2 + 6k2 = 11k2
-3 + 11k2 = 0
Solving
-3 + 11k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 11k2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 11k2 = 0 + 3
11k2 = 0 + 3
Combine like terms: 0 + 3 = 3
11k2 = 3
Divide each side by '11'.
k2 = 0.2727272727
Simplifying
k2 = 0.2727272727
Take the square root of each side:
k = {-0.522232968, 0.522232968}
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