SOLUTION: 25x-50=-23/x Please solve for x.

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Question 481235: 25x-50=-23/x Please solve for x.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

25x-50=-23%2Fx..to solve for x, firs both sides multiply by denominator {{x}}}
25x%2Ax-50%2Ax=-23%2Ax%2Fx

25x%5E2-50x=-23%2Across%28x%29%2Fcross%28x%29

25x%5E2-50x=-23.......move -23 to the left side
25x%5E2-50x%2B23=0....use quadratic formula to solve for x

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+...note a=25, b=-50 and c=23

x+=+%28-%28-50%29+%2B-+sqrt%28+%28-50%29%5E2-4%2A25%2A23+%29%29%2F%282%2A25%29+

x+=+%2850%2B-+sqrt%282500-2300+%29%29%2F50+

x+=+%2850%2B-+sqrt%28200+%29%29%2F50+

x+=+%2850%2B-+14.14%29%2F50+

solutions:
x+=+%2850%2B+14.14%29%2F50+

x+=+%2864.14%29%2F50+

highlight%28x+=+1.2828%29+
or
x+=+%2850-14.14%29%2F50+

x+=+%2835.86%29%2F50+

highlight%28x+=+0.7172%29+