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

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Question 147306: can you please solve the equation:2x (3+4x)-4x(3-6x)is greater or less than10.
thank you
Answer by checkley77(12844) 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%28+b%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.