Solve for x:
-(16 x^2)/1225+(7 x)/5+2.5 = 0
-(16 x^2)/1225+(7 x)/5+2.5 = -(16 x^2)/1225+(7 x)/5+5/2:
-(16 x^2)/1225+(7 x)/5+5/2 = 0
Multiply both sides by -1225/16:
x^2-(1715 x)/16-6125/32 = 0
Add 6125/32 to both sides:
x^2-(1715 x)/16 = 6125/32
Add 2941225/1024 to both sides:
x^2-(1715 x)/16+2941225/1024 = 3137225/1024
Write the left hand side as a square:
(x-1715/32)^2 = 3137225/1024
Take the square root of both sides:
x-1715/32 = (35 sqrt(2561))/32 or x-1715/32 = -(35 sqrt(2561))/32
Add 1715/32 to both sides:
x = 1715/32+(35 sqrt(2561))/32 or x-1715/32 = -(35 sqrt(2561))/32
Add 1715/32 to both sides:
Answer: |x = 1715/32+(35 sqrt(2561))/32 or x = 1715/32-(35 sqrt(2561))/32
