We have that
4x²<span> – 24x+27=0
</span>
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² – 24x)=-27
Factor the leading coefficient
4*(x² – 6x)=-27
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>4*(x² – 6x+9)=-27+
36--------> missing piecesRewrite as perfect squares
4*(x-3)²=9
(x-3)²=9/4----> square root both sides----> (+/-)(x-3)=3/2----> missing pieces
+(x-3)=3/2------> x=(3/2)+3-----> x=9/2
-(x-3)=3/2-----> x=3-(3/2)-----> x=3/2
