what is |2x-6|=6
\(\begin{array}{rcll} |2x-6| &=&6 \qquad & \qquad \text{(square both sides)}\\ (2x-6)^2 &=& 6^2 \\ 4x^2-24x+36 &=& 36\\ 4x^2-24x &=& 0 \qquad & \qquad : 4\\ x^2-6x &=& 0 \\ x(x-6) &=& 0\\ x = 0 & \text{or} & x-6 = 0 \\ x = 0 & \text{or} & x = 6 \\ \end{array}\)
|2x-6|=6 we have two equations, here
2x - 6 = 6 and 2x - 6 = -6
Add 6 to both sides
2x = 12 2x = 0
Divide both sides by 2
x = 6 and x = 0
what is |2x-6|=6
\(\begin{array}{rcll} |2x-6| &=&6 \qquad & \qquad \text{(square both sides)}\\ (2x-6)^2 &=& 6^2 \\ 4x^2-24x+36 &=& 36\\ 4x^2-24x &=& 0 \qquad & \qquad : 4\\ x^2-6x &=& 0 \\ x(x-6) &=& 0\\ x = 0 & \text{or} & x-6 = 0 \\ x = 0 & \text{or} & x = 6 \\ \end{array}\)