solve by factoring 4x^2-8x+4=0 must show work

Expert Answers

An illustration of the letter 'A' in a speech bubbles

4x^2-8x+4=0 by factoring

Factor out the GCF of 4 from each term in the polynomial.

4(x^2) + 4(-2x) + 4(1) =0

4 (x^2-2x+1)=0

4 (x-1) (x-1) =0

Combine the two common factors of (x-1) by adding the exponents.

4 (x-1)^2 =0

Divide both sides of the equation by 4 which leaves

(x-1)^2 = 0

Set each factor equal to 0

x-1 = 0

Add 1 to each side to solve for x



Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial