Question

please tell me what I'm doing wrong. I'm still not understanding the subject after 1 hour of practicing.

Answer 1

`x\text{ = -4 or -8}`

Here, we want to aolve for the value of x

We proceed by cross-multiplying

We have this as follows;

`\begin{gathered} (1)/(x+3)\text{ = }(x+10)/(x-2) \\ \\ 1(x-2)\text{ = (x+3)(x+10)} \\ x-2\text{ = x(x+10) + 3(x+10)} \\ x-2=x^2+10x+3x+30 \\ x-2=x^2+13x+30 \\ x^2+13x-x+30+2\text{ = 0} \\ x^2+12x+32\text{ = 0} \\ x^2+4x+8x+32\text{ = 0} \\ x(x+4)\text{ + 8(x+4)= 0} \\ (x+4)(x+8)\text{ = 0} \\ x\text{ + 4 = 0 or x + 8 = 0} \\ x\text{ = -4 or -8} \end{gathered}`