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Simplifying
12k2 + -75 = 0
Reorder the terms:
-75 + 12k2 = 0
Solving
-75 + 12k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '75' to each side of the equation.
-75 + 75 + 12k2 = 0 + 75
Combine like terms: -75 + 75 = 0
0 + 12k2 = 0 + 75
12k2 = 0 + 75
Combine like terms: 0 + 75 = 75
12k2 = 75
Divide each side by '12'.
k2 = 6.25
Simplifying
k2 = 6.25
Take the square root of each side:
k = {-2.5, 2.5}
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