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

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Answer 1 · 2015-06-27T19:37:13

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

#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#