SOLUTION: need help solving 1/2x(10x-6)=x-15

Algebra ->  Expressions-with-variables -> SOLUTION: need help solving 1/2x(10x-6)=x-15      Log On


   

Question 841099: need help solving 1/2x(10x-6)=x-15
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29x%2810x-6%29=x-15
x%2810x-6%29=2x-30
10x%5E2-6x=2x-30
10x%5E2-8x-30=0
Use the quadratic formula,
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-8%29+%2B-+sqrt%28+%28-8%29%5E2-4%2A10%2A%28-30%29+%29%29%2F%282%2A10%29+
x+=+%288%2B-+sqrt%28+64%2B1200+%29%29%2F%2820%29+
x+=+%288%2B-+sqrt%281264+%29%29%2F%2820%29+
x+=+%288%2B-+4%2Asqrt%28316+%29%29%2F%2820%29+
x+=+%282%2B-+sqrt%28316%29%29%2F%285%29+