[tex]2x = \dfrac{4}{x+1} [/tex]
Cross- Multiply:
[tex]2x (x + 1) = 4[/tex]
Distribute 2x:
[tex]2x^2 + 2x = 4[/tex]
Subtract 4 from both sides:
[tex]2x^2 + 2x - 4 = 0[/tex]
Divide both sides by 2:
[tex]x^2 + x - 2 = 0[/tex]
Factorise:
[tex]( x + 2)(x - 1) = 0[/tex]
Apply zero product property:
[tex]x = 2 \ or \ x = 1[/tex]
