)) Solve for Z. (5z+1)(6z+5)=0 )) (A) Write your answers as integers or as proper or improper fractions in simplest form. square R z = or Z=

To solve the equation $(5z+1)(6z+5)=0$, we need to find the values of z that make the equation true.<br /><br />Step 1: Set each factor equal to zero and solve for z.<br />$5z+1=0$<br />$6z+5=0$<br /><br />Step 2: Solve each equation separately.<br />For $5z+1=0$:<br />$5z=-1$<br />$z=-\frac{1}{5}$<br /><br />For $6z+5=0$:<br />$6z=-5$<br />$z=-\frac{5}{6}$<br /><br />Therefore, the solutions to the equation are:<br />$z=-\frac{1}{5}$ or $z=-\frac{5}{6}$<br /><br />So, the answer is:<br />$z=-\frac{1}{5}$ or $z=-\frac{5}{6}$