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x24x+4=2xx^2-4x+4=2x

Full solution

Q. x24x+4=2xx^2-4x+4=2x
  1. Move Terms to One Side: Move all terms to one side to set the equation to zero: x24x+42x=0x^2 - 4x + 4 - 2x = 0.
  2. Combine Like Terms: Combine like terms: x26x+4=0x^2 - 6x + 4 = 0.
  3. Factor the Equation: Factor the quadratic equation: (x2)(x2)=0(x - 2)(x - 2) = 0.
  4. Set Equal and Solve: Set each factor equal to zero and solve for xx: x2=0x - 2 = 0.
  5. Final Solution: Add 22 to both sides: x=2x = 2.