# Solve the following equation by factoring z^2=8 z

Solve the following equation by factoring
${z}^{2}=8z$
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

likvau
Concept:
Factorization is the process of breaking a polynomial into product of its factors.
For example: if a quadratic equation $a{x}^{2}+bx+c=0$ has roots p and q then in factor form it can be written as (x-p)(x-q)=0
Solution:
${z}^{2}=8z$
subtract 8z from both sides:
${z}^{2}-8z=8z-8z$
${z}^{2}-8z=0$
tale out z as it is common to both:
z(z-8)=0
now, the above expression shows that we have broken the given expression in to it's factors, z=0 or (z-8)=0
z=0 or z=8
therefore, by factorization the solution of the equation ${z}^{2}=8z$ is:
z=0 or z =8