SOLUTION: 3x^2+2x=-5-4x

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Question 172418: 3x^2+2x=-5-4x

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x%5E2%2B2x=-5-4x Start with the given equation.


3x%5E2%2B2x%2B5%2B4x=0 Get all terms to the left side.


3x%5E2%2B6x%2B5=0 Combine like terms.


Notice we have a quadratic equation in the form of ax%5E2%2Bbx%2Bc where a=3, b=6, and c=5


Let's use the quadratic formula to solve for x


x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 Start with the quadratic formula


x+=+%28-%286%29+%2B-+sqrt%28+%286%29%5E2-4%283%29%285%29+%29%29%2F%282%283%29%29 Plug in a=3, b=6, and c=5


x+=+%28-6+%2B-+sqrt%28+36-4%283%29%285%29+%29%29%2F%282%283%29%29 Square 6 to get 36.


x+=+%28-6+%2B-+sqrt%28+36-60+%29%29%2F%282%283%29%29 Multiply 4%283%29%285%29 to get 60


x+=+%28-6+%2B-+sqrt%28+-24+%29%29%2F%282%283%29%29 Subtract 60 from 36 to get -24


x+=+%28-6+%2B-+sqrt%28+-24+%29%29%2F%286%29 Multiply 2 and 3 to get 6.


x+=+%28-6+%2B-+2i%2Asqrt%286%29%29%2F%286%29 Simplify the square root (note: If you need help with simplifying square roots, check out this solver)


x+=+%28-6%2B2i%2Asqrt%286%29%29%2F%286%29 or x+=+%28-6-2i%2Asqrt%286%29%29%2F%286%29 Break up the expression.


So the answers are x+=+%28-6%2B2i%2Asqrt%286%29%29%2F%286%29 or x+=+%28-6-2i%2Asqrt%286%29%29%2F%286%29