Question

-2x(x + 1) = -2x + 5

Answer 1

we are given

`-2x(x+1)=-2x+5`

Since, we have to solve for x

so, we will isolate all terms on left side

step-1:

Distribute -2x

`-2x* x-2x* 1=-2x+5`

`-2x^2-2x=-2x+5`

step-2:

Add both sides by 2x

`-2x^2-2x+2x=-2x+5+2x`

`-2x^2=5`

Step-3:

Divide both sides by -2

and we get

`x^2=-(5)/(2)`

now, we can take sqrt both sides

`√(x^2) =\sqrt{-(5)/(2)}`

we get

`x=-\sqrt{(5)/(2)}i,x=\sqrt{(5)/(2)}i`..............Answer