Hi

4x^2-4x+3=0

Move the constant term to the right side of the equation

4x^2-4x=-3  

Multiply each term in the equation by four times the coefficient of the x^2 term 

64x^2 -64x = -48 

Square the coefficient of the original x term and add it to both sides of the equation 

64x^2 -64x + 16 = -48 + 16

Take the square root of both sides and complete as shown

(8x -4)^2 =(-32)

(8x -4) = ± sqrt(-32)

      x = (4 ± sqrt(-32))8









  

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