Algebra

Question

0

25

2

+1000

Find all values of $x$ such that $x^2 - 5x + 4 = -x^2 - 25x - 14$. If you find more than one value, then list your solutions, separated by commas.

Hi6942O Jun 16, 2024

learnmgcat · Answer 1 · 2024-06-16T04:55:20

The solutions are 5 and 6.

NotThatSmart · Answer 2 · 2024-06-16T05:38:02

First, let's move all terms to one side and combine all like terms.

We get

$x^{2}+10x+9=0$

We can put this into factored form to find x. We get

$(x+9)(x+1)=0$

From this, we know that

$x=-1\\ x=-9$

So our final answer is -1 and -9.

Thanks! :)