How do you solve the equation: #6h^2=3h#?

1 Answer
Jun 27, 2015

Answer:

There are two solution: #h=0, 1/2#

Explanation:

#6h^2=3h#

It may be tempting to divide by #3h# ot by #h#, but do not divide by an expression involving the variable. (That's the simplest policy to adopt.)

Instead of dividing, collect the terms on one side and factor:

#6h^2 = 3h#

#6h^2-3h = 0#

#3h(2h-1) = 0#

So we need:

#3h = 0# #color(white)"xx"# or #color(white)"xx"##2h-1 =0#

So, we get:
#h = 0# #color(white)"xx"# or #color(white)"xx"##h =1/2#