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Simplifying
5k2 + 7 = 492
Reorder the terms:
7 + 5k2 = 492
Solving
7 + 5k2 = 492
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 5k2 = 492 + -7
Combine like terms: 7 + -7 = 0
0 + 5k2 = 492 + -7
5k2 = 492 + -7
Combine like terms: 492 + -7 = 485
5k2 = 485
Divide each side by '5'.
k2 = 97
Simplifying
k2 = 97
Take the square root of each side:
k = {-9.848857802, 9.848857802}
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