SOLUTION: Algebraically determine the EXACT roots in simplest form for 2x=-3x^2+4

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Question 122241: Algebraically determine the EXACT roots in simplest form for 2x=-3x^2+4
Answer by algebrapro18(249) About Me  (Show Source):
You can put this solution on YOUR website!
2x=-3x^2+4 --> combine like terms
3x^2+2x-4=0 --> since this won't factor easily we need to use the quadratic formula.

a = 3
b = 2
c = -4

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ --> plug values in for a, b, and c
x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A3%2A-4+%29%29%2F%282%2A3%29+ --> Simplify
x+=+%28-2+%2B-+sqrt%28+4%2B48+%29%29%2F%286%29+ --> simplify
x+=+%28-2+%2B-+sqrt%28+52+%29%29%2F%286%29+ --> reduce sqrt(52)
x+=+%28-2+%2B-+2+sqrt%28+13+%29%29%2F%286%29+ --> factor out a 2
x+=+%28-1+%2B-+sqrt%28+13+%29%29%2F%283%29+