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Simplifying
3k2 + -8 = 292
Reorder the terms:
-8 + 3k2 = 292
Solving
-8 + 3k2 = 292
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 3k2 = 292 + 8
Combine like terms: -8 + 8 = 0
0 + 3k2 = 292 + 8
3k2 = 292 + 8
Combine like terms: 292 + 8 = 300
3k2 = 300
Divide each side by '3'.
k2 = 100
Simplifying
k2 = 100
Take the square root of each side:
k = {-10, 10}
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