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Simplifying
(7k + -5)(7k + 5) = 0
Reorder the terms:
(-5 + 7k)(7k + 5) = 0
Reorder the terms:
(-5 + 7k)(5 + 7k) = 0
Multiply (-5 + 7k) * (5 + 7k)
(-5(5 + 7k) + 7k * (5 + 7k)) = 0
((5 * -5 + 7k * -5) + 7k * (5 + 7k)) = 0
((-25 + -35k) + 7k * (5 + 7k)) = 0
(-25 + -35k + (5 * 7k + 7k * 7k)) = 0
(-25 + -35k + (35k + 49k2)) = 0
Combine like terms: -35k + 35k = 0
(-25 + 0 + 49k2) = 0
(-25 + 49k2) = 0
Solving
-25 + 49k2 = 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 + 49k2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 49k2 = 0 + 25
49k2 = 0 + 25
Combine like terms: 0 + 25 = 25
49k2 = 25
Divide each side by '49'.
k2 = 0.5102040816
Simplifying
k2 = 0.5102040816
Take the square root of each side:
k = {-0.714285714, 0.714285714}
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