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Simplifying
(kt + 7)(kt + -7) = 0
Reorder the terms:
(7 + kt)(kt + -7) = 0
Reorder the terms:
(7 + kt)(-7 + kt) = 0
Multiply (7 + kt) * (-7 + kt)
(7(-7 + kt) + kt(-7 + kt)) = 0
((-7 * 7 + kt * 7) + kt(-7 + kt)) = 0
((-49 + 7kt) + kt(-7 + kt)) = 0
(-49 + 7kt + (-7 * kt + kt * kt)) = 0
(-49 + 7kt + (-7kt + k2t2)) = 0
Combine like terms: 7kt + -7kt = 0
(-49 + 0 + k2t2) = 0
(-49 + k2t2) = 0
Solving
-49 + k2t2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + k2t2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + k2t2 = 0 + 49
k2t2 = 0 + 49
Combine like terms: 0 + 49 = 49
k2t2 = 49
Divide each side by 't2'.
k2 = 49t-2
Simplifying
k2 = 49t-2
Take the square root of each side:
k = {-7t-1, 7t-1}
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