Respuesta :

[tex]\begin{gathered} (-5z+6)^2-1(-5z+6)-2=0 \\ \text{Expand the perfect square:} \\ 25z^2-60z+36+5z-6-2=0 \\ \text{ Add like terms:} \\ 25z^2-55z+28=0 \\ \end{gathered}[/tex]

The coefficient of z² is 25 and the constant term is 28. The product of 25 and 28 is 700. The factors of 700 which sum to -55 are -20 and -35, so:

[tex]\begin{gathered} 25z^2-55z+28=(5z-4)(5z-7) \\ so\colon \\ z=\frac{4}{5} \\ and \\ z=\frac{7}{5} \end{gathered}[/tex]

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