SOLUTION: I need help solving the rational equation: 10/(2x) + 4/(x-5)= 4 *The Division sign (/) is a fraction bar.

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Question 765245: I need help solving the rational equation:
10/(2x) + 4/(x-5)= 4
*The Division sign (/) is a fraction bar.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
10%2F%282x%29+%2B+4%2F%28x-5%29=+4.......common denominator

10%28x-5%29%2F%28%28x-5%29%282x%29%29+%2B+%284%2A2x%29%2F%282x%28x-5%29%29=+4
%2810%28x-5%29+%2B+8x%29%2F%282x%28x-5%29%29=+4
%2810x-50+%2B+8x%29%2F%282x%5E2-10x%29=+4
%2818x-50%29%2F%282x%5E2-10x%29=+4
%2818x-50%29=+4%282x%5E2-10x%29
18x-50=+8x%5E2-40x
0=+8x%5E2-18x-40x%2B50
+8x%5E2-58x%2B50=0....divide all terms by 2
+4x%5E2-29x%2B25=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+

x+=+%28-%28-29%29+%2B-+sqrt%28+%28-29%29%5E2-4%2A4%2A25+%29%29%2F%282%2A4%29+

x+=+%2829+%2B-+sqrt%28+841-400+%29%29%2F8+

x+=+%2829+%2B-+sqrt%28+441+%29%29%2F8+

x+=+%2829+%2B-+21%29%2F8+
solutions:
x+=+%2829+%2B+21%29%2F8+
x+=+50%2F8+
x+=+25%2F4+
highlight%28x+=+6.25%29+

or
x+=+%2829+-+21%29%2F8+
x+=+8%2F8+
highlight%28x+=+1%29+