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Simplifying
7k2 + 5 + 9k2 + -12 = 0
Reorder the terms:
5 + -12 + 7k2 + 9k2 = 0
Combine like terms: 5 + -12 = -7
-7 + 7k2 + 9k2 = 0
Combine like terms: 7k2 + 9k2 = 16k2
-7 + 16k2 = 0
Solving
-7 + 16k2 = 0
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 + 16k2 = 0 + 7
Combine like terms: -7 + 7 = 0
0 + 16k2 = 0 + 7
16k2 = 0 + 7
Combine like terms: 0 + 7 = 7
16k2 = 7
Divide each side by '16'.
k2 = 0.4375
Simplifying
k2 = 0.4375
Take the square root of each side:
k = {-0.661437828, 0.661437828}
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