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Simplifying
9k2 + -12 + -1 = 0
Reorder the terms:
-12 + -1 + 9k2 = 0
Combine like terms: -12 + -1 = -13
-13 + 9k2 = 0
Solving
-13 + 9k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '13' to each side of the equation.
-13 + 13 + 9k2 = 0 + 13
Combine like terms: -13 + 13 = 0
0 + 9k2 = 0 + 13
9k2 = 0 + 13
Combine like terms: 0 + 13 = 13
9k2 = 13
Divide each side by '9'.
k2 = 1.444444444
Simplifying
k2 = 1.444444444
Take the square root of each side:
k = {-1.201850425, 1.201850425}
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