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

$-2x\times x-2x\times 1=-2x+5$

$-2x^2-2x=-2x+5$

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

$x^2=-\frac{5}{2}$

now, we can take sqrt both sides

$\sqrt{x^2} =\sqrt{-\frac{5}{2}}$

we get

$x=-\sqrt{\frac{5}{2}}i,x=\sqrt{\frac{5}{2}}i$..............Answer