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Simplifying
(5 + -1k)(5 + k) = 0
Multiply (5 + -1k) * (5 + k)
(5(5 + k) + -1k * (5 + k)) = 0
((5 * 5 + k * 5) + -1k * (5 + k)) = 0
((25 + 5k) + -1k * (5 + k)) = 0
(25 + 5k + (5 * -1k + k * -1k)) = 0
(25 + 5k + (-5k + -1k2)) = 0
Combine like terms: 5k + -5k = 0
(25 + 0 + -1k2) = 0
(25 + -1k2) = 0
Solving
25 + -1k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + -1k2 = 0 + -25
Combine like terms: 25 + -25 = 0
0 + -1k2 = 0 + -25
-1k2 = 0 + -25
Combine like terms: 0 + -25 = -25
-1k2 = -25
Divide each side by '-1'.
k2 = 25
Simplifying
k2 = 25
Take the square root of each side:
k = {-5, 5}
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