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Simplifying
4k2 + 9 = 333
Reorder the terms:
9 + 4k2 = 333
Solving
9 + 4k2 = 333
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 + 4k2 = 333 + -9
Combine like terms: 9 + -9 = 0
0 + 4k2 = 333 + -9
4k2 = 333 + -9
Combine like terms: 333 + -9 = 324
4k2 = 324
Divide each side by '4'.
k2 = 81
Simplifying
k2 = 81
Take the square root of each side:
k = {-9, 9}
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