SOLUTION: Please help me solve this equation: {{{ x^2+14x=-49 }}}

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Question 577104: Please help me solve this equation: +x%5E2%2B14x=-49+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2%2B14x=-49 Start with the given equation.


x%5E2%2B14x%2B49=0 Add 49 to both sides


Notice we have a quadratic equation in the form of ax%5E2%2Bbx%2Bc where a=1, b=14, and c=49


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-%2814%29+%2B-+sqrt%28+%2814%29%5E2-4%281%29%2849%29+%29%29%2F%282%281%29%29 Plug in a=1, b=14, and c=49


x+=+%28-14+%2B-+sqrt%28+196-4%281%29%2849%29+%29%29%2F%282%281%29%29 Square 14 to get 196.


x+=+%28-14+%2B-+sqrt%28+196-196+%29%29%2F%282%281%29%29 Multiply 4%281%29%2849%29 to get 196


x+=+%28-14+%2B-+sqrt%28+0+%29%29%2F%282%281%29%29 Subtract 196 from 196 to get 0


x+=+%28-14+%2B-+sqrt%28+0+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


x+=+%28-14+%2B-+0%29%2F%282%29 Take the square root of 0 to get 0.


x+=+%28-14+%2B+0%29%2F%282%29 or x+=+%28-14+-+0%29%2F%282%29 Break up the expression.


x+=+%28-14%29%2F%282%29 or x+=++%28-14%29%2F%282%29 Combine like terms.


x+=+-7 or x+=+-7 Simplify.


So the answers are x+=+-7 or x+=+-7