If z = 3 is a solution of the equation 5z² kz – 30 = 0, the value of k and other solution of the equation are respectively

If you would like to know the value of k and the other solution, you can find this using the following steps:

z = 3
5z^2 + k * z - 30 = 0
5 * 3^2 + k * 3 - 30 = 0
5 * 9 + 3 * k - 30 = 0
45 - 30 + 3 * k = 0
3 * k = - 15
k = - 15/3
k = - 5

5z^2 - 5z - 30 = 0    /5
z^2 - z - 6 = 0
(z - 3) * (z + 2) = 0
z^2 + 2z - 3z - 6 = 0
1. z = 3
2. z = - 2

The correct result would be: k = - 5 and z = - 2.

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