SOLUTION: Solve {{{ 1/(2x)-3=x/5 }}} I have tried to solve this, but I am stuck at: {{{ 1-6x=2x^2/5 }}} {{{ 5-30x=2x^2 }}} {{{ -2x^2-30x+5=0 }}} I'm not quite sure what to do next.

Algebra ->  Equations -> SOLUTION: Solve {{{ 1/(2x)-3=x/5 }}} I have tried to solve this, but I am stuck at: {{{ 1-6x=2x^2/5 }}} {{{ 5-30x=2x^2 }}} {{{ -2x^2-30x+5=0 }}} I'm not quite sure what to do next.      Log On


   

Question 1042194: Solve +1%2F%282x%29-3=x%2F5+
I have tried to solve this, but I am stuck at:
+1-6x=2x%5E2%2F5+
+5-30x=2x%5E2+
+-2x%5E2-30x%2B5=0+
I'm not quite sure what to do next.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Identify the simplest common denominator.
system%282x%2C5%29,alltogether, 2%2A5%2Ax.

2%2A5%2Ax%281%2F%282x%29-3%29=2%2A5%2Ax%28x%2F5%29

5-2%2A3%2A5%2Ax=2x%5E2

5-30x=2x%5E2

-2x%5E2-30x%2B5=0
and note, also one more step for better convenience,
%28-1%29%28-2x%5E2-30x%2B5%29=-1%2A0

2x%5E2%2B30x-5=0

Either this is factorable or it is not factorable. If factorable, you already learned what to do. If NOT factorable, then you can solve using the formula for general solution of quadratic formula.


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Discriminant, %2830%29%5E2-4%2A2%2A%28-5%29=900%2B40=940
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940=94%2A2%2A5=2%2A47%2A2%2A5=2%5E2%2A5%2A47
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x=%28-30%2B-+sqrt%282%5E2%2A5%2A47%29%29%2F%282%2A2%29

x=%28-30%2B-+2%2Asqrt%28235%29%29%2F%282%2A2%29

highlight%28x=%28-15%2B-+sqrt%28235%29%29%2F2%29