SOLUTION: i need help on getting the answer for this problem "5x^2+5=-13x", help?

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Question 449352: i need help on getting the answer for this problem "5x^2+5=-13x", help?
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5x%5E2%2B5=-13x Start with the given equation.


5x%5E2%2B13x%2B5=0 Add 13x to both sides.


Notice that the quadratic 5x%5E2%2B13x%2B5 is in the form of Ax%5E2%2BBx%2BC where A=5, B=13, 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-%2813%29+%2B-+sqrt%28+%2813%29%5E2-4%285%29%285%29+%29%29%2F%282%285%29%29 Plug in A=5, B=13, and C=5


x+=+%28-13+%2B-+sqrt%28+169-4%285%29%285%29+%29%29%2F%282%285%29%29 Square 13 to get 169.


x+=+%28-13+%2B-+sqrt%28+169-100+%29%29%2F%282%285%29%29 Multiply 4%285%29%285%29 to get 100


x+=+%28-13+%2B-+sqrt%28+69+%29%29%2F%282%285%29%29 Subtract 100 from 169 to get 69


x+=+%28-13+%2B-+sqrt%28+69+%29%29%2F%2810%29 Multiply 2 and 5 to get 10.


x+=+%28-13%2Bsqrt%2869%29%29%2F%2810%29 or x+=+%28-13-sqrt%2869%29%29%2F%2810%29 Break up the expression.


So the solutions are x+=+%28-13%2Bsqrt%2869%29%29%2F%2810%29 or x+=+%28-13-sqrt%2869%29%29%2F%2810%29

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

5x%5E2%2B5=-13x

5x%5E2%2B13x%2B5=-13x%2B13x
5x%5E2%2B13x%2B5=0...now use quadratic formula...notice that a=5, b=13 and c=5

x+=+%28-13+%2B-+sqrt%28+13%5E2-4%2A5%2A5+%29%29%2F%282%2A5%29+

x+=+%28-13+%2B-+sqrt%28+169-100+%29%29%2F10+

x+=+%28-13+%2B-+sqrt%28+69%29%29%2F10+

x+=+%28-13+%2B-+8.3%29%2F10+

solutions:
x+=+%28-13+%2B8.3%29%2F10+
x+=+-4.7%2F10+
x+=+-0.47+
or
x+=+%28-13+-8.3%29%2F10+
x+=+-21.3%2F10+
x+=+-2.13
let's see a graph:
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+5x%5E2%2B13x%2B5%29+