SOLUTION: Pleas show me how to solve the equation using the zero-factor property. thanks! Z(Z+27)=5(3Z-7)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Pleas show me how to solve the equation using the zero-factor property. thanks! Z(Z+27)=5(3Z-7)      Log On


   

Question 76288: Pleas show me how to solve the equation using the zero-factor property. thanks!
Z(Z+27)=5(3Z-7)
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+Z%28Z%2B27%29=5%283Z-7%29+
First you must distribute the z and the 5 across their quantities.
+z%5E2+%2B+27z+=+15z+-+35+
Move all values to the left, thereby setting the equation equal to zero.
+z%5E2+%2B+27z+-+15z+%2B+35+=+0+
Combine like terms
+z%5E2+%2B+12z+%2B+35+=+0+
Factor
+%28z%2B5%29%28z%2B7%29+=+0+
Set each piece equal to zero
+z%2B5=0+ and +z%2B7=0+
+z=-5+ and +z=-7+