SOLUTION: can you please solve the equation:2x (3+4x)-4x(3-6x)is greater or less than10. thank you

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: can you please solve the equation:2x (3+4x)-4x(3-6x)is greater or less than10. thank you      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 147307: can you please solve the equation:2x (3+4x)-4x(3-6x)is greater or less than10.
thank you
Answer by checkley77(12569) About Me  (Show Source):
You can put this solution on YOUR website!
2x(3+4x)-4x(3-6x)>=10
6x+8x^2-12x+24x^2-10>=0
32x^2-6x-10>=0
2(16x^2-3x-5)>=0
using the quadratic equation:x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29 we get:
x=(3+-sqrt[-3^2-4*16*-5])/2*16
x=(3+-sqrt[9+320])/32
x=(3+-sqrt329)/32
x=(3+-18.14)/32
x=(3+18.14)/32
x=21.14/32
x=.66 answer.
x=(3-18.14)/32
x=-15.14/32
x=-.473 answer.