SOLUTION: 15x^2+36=-48x

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Question 332295: 15x^2+36=-48x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

15x%5E2%2B36=-48x Start with the given equation.


15x%5E2%2B48x%2B36=0 Add 48x to both sides.


Notice that the quadratic 15x%5E2%2B48x%2B36 is in the form of Ax%5E2%2BBx%2BC where A=15, B=48, and C=36


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-%2848%29+%2B-+sqrt%28+%2848%29%5E2-4%2815%29%2836%29+%29%29%2F%282%2815%29%29 Plug in A=15, B=48, and C=36


x+=+%28-48+%2B-+sqrt%28+2304-4%2815%29%2836%29+%29%29%2F%282%2815%29%29 Square 48 to get 2304.


x+=+%28-48+%2B-+sqrt%28+2304-2160+%29%29%2F%282%2815%29%29 Multiply 4%2815%29%2836%29 to get 2160


x+=+%28-48+%2B-+sqrt%28+144+%29%29%2F%282%2815%29%29 Subtract 2160 from 2304 to get 144


x+=+%28-48+%2B-+sqrt%28+144+%29%29%2F%2830%29 Multiply 2 and 15 to get 30.


x+=+%28-48+%2B-+12%29%2F%2830%29 Take the square root of 144 to get 12.


x+=+%28-48+%2B+12%29%2F%2830%29 or x+=+%28-48+-+12%29%2F%2830%29 Break up the expression.


x+=+%28-36%29%2F%2830%29 or x+=++%28-60%29%2F%2830%29 Combine like terms.


x+=+-6%2F5 or x+=+-2 Simplify.


So the solutions are x+=+-6%2F5 or x+=+-2