Question

2x(2x + 1) = 2( x + 18)

Answer 1

To solve the equation for "x" we first need to simplify it.

`\begin{gathered} 2x\cdot(2x+1)=2\cdot(x+18)_{} \\ 4x^2+2x=2x+36 \\ 4x^2+2x-2x-36=0 \\ 4x^2-36=0 \\ 4x^2=36 \\ x^2=(36)/(4) \\ x^2=9 \\ \text{ We now apply the square roots method} \\ \sqrt[]{x^2}=\pm\sqrt[]{9} \\ x=\pm3 \end{gathered}`

The answer for this equation is either -3 or 3.