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Simplifying
2k2 + -3 = 0
Reorder the terms:
-3 + 2k2 = 0
Solving
-3 + 2k2 = 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 + 2k2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 2k2 = 0 + 3
2k2 = 0 + 3
Combine like terms: 0 + 3 = 3
2k2 = 3
Divide each side by '2'.
k2 = 1.5
Simplifying
k2 = 1.5
Take the square root of each side:
k = {-1.224744871, 1.224744871}
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