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Simplifying
2k2 + 9 = 209
Reorder the terms:
9 + 2k2 = 209
Solving
9 + 2k2 = 209
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 2k2 = 209 + -9
Combine like terms: 9 + -9 = 0
0 + 2k2 = 209 + -9
2k2 = 209 + -9
Combine like terms: 209 + -9 = 200
2k2 = 200
Divide each side by '2'.
k2 = 100
Simplifying
k2 = 100
Take the square root of each side:
k = {-10, 10}
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