Respuesta :

x=(x+1)(x+y)

Step 1: Flip the equation.x2+xy+x+y=x

Step 2: Add -x to both sides.x2+xy+x+y+−x=x+−xx2+xy+y=0

Step 3: Add -x^2 to both sides.x2+xy+y+x2=0+x2xy+y=x

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Step 4: Factor out variable y.y(x+1)=x2

Step 5: Divide both sides by x+1.y(x+1)x+1=x2x+1y=x2x+1

So the answer is: y= -x^2/ x+1
☆We need to solve for y:
☆Here is the question you asked:
x=(x+1)(x+y)

Add -x to both sides:
x^2+xy+x+y+−x=x+x
x^2+xy+y=0

Add -x^2 to both sides:
x2+xy+y+x^2=0+x^2
xy+y=x^2

Factor out variable y:
y(x+1)/x+1=x2/x+1

Your answer is:
y=x2/x+1

☆I hope this helps!