we are given
[tex]-2x(x+1)=-2x+5[/tex]
Since, we have to solve for x
so, we will isolate all terms on left side
step-1:
Distribute -2x
[tex]-2x\times x-2x\times 1=-2x+5[/tex]
[tex]-2x^2-2x=-2x+5[/tex]
step-2:
Add both sides by 2x
[tex]-2x^2-2x+2x=-2x+5+2x[/tex]
[tex]-2x^2=5[/tex]
Step-3:
Divide both sides by -2
and we get
[tex]x^2=-\frac{5}{2}[/tex]
now, we can take sqrt both sides
[tex]\sqrt{x^2} =\sqrt{-\frac{5}{2}}[/tex]
we get
[tex]x=-\sqrt{\frac{5}{2}}i,x=\sqrt{\frac{5}{2}}i[/tex]..............Answer
