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Simplifying
18k2 + 39 + -58 = 41
Reorder the terms:
39 + -58 + 18k2 = 41
Combine like terms: 39 + -58 = -19
-19 + 18k2 = 41
Solving
-19 + 18k2 = 41
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '19' to each side of the equation.
-19 + 19 + 18k2 = 41 + 19
Combine like terms: -19 + 19 = 0
0 + 18k2 = 41 + 19
18k2 = 41 + 19
Combine like terms: 41 + 19 = 60
18k2 = 60
Divide each side by '18'.
k2 = 3.333333333
Simplifying
k2 = 3.333333333
Take the square root of each side:
k = {-1.825741858, 1.825741858}
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