Answer:
1) k = (-8)/5
2) x = 5
Step-by-step explanation:
1)
[tex]6 {k}^{2} + 16k = 0[/tex]
[tex] = > 2k(3k + 8) = 0[/tex]
[tex] = > 3k + 8 = \frac{0}{2k} = 0[/tex]
[tex] = > 3k = - 8[/tex]
[tex] = > k = \frac{ - 8}{3} [/tex]
2)
[tex] {x}^{2} - 5x = 0[/tex]
[tex] = > x(x - 5) = 0[/tex]
[tex] = > x - 5 = \frac{0}{x} = 0[/tex]
[tex] = > x = 5[/tex]