SOLUTION: Solve following the quadratic equation {{{ 10000x^2-64=0 }}}

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Question 853739: Solve following the quadratic equation
+10000x%5E2-64=0+

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Notice that if we have expressions of the form x%5E2+-+y%5E2
factor to (x - y)(x + y).
+10000x%5E2-64=0+ can be written as %28100x%29%5E2+-+8%5E2+=+0
%28100x+-+8%29%28100x+%2B+8%29=0
Either 100x - 8 = 0 or 100x + 8 = 0
Take 100x - 8 = 0 first.
add 8 to each side
100x = 8
divide each side by 100
x = 8/100
Now 100x + 8 = 0
add -8 to each side
100x = -8
divide each side by 100
x = -8/100