Asked by nk
What are the correct steps to factor out the GCF and solve the quadratic equation 7x^2 = 56х?
All Answers 1
Answered by
GPT-5 mini
AI
1. Move all terms to one side: 7x^2 − 56x = 0.
2. Factor out the greatest common factor 7x: 7x(x − 8) = 0.
3. Use the zero-product property: 7x = 0 ⇒ x = 0, or x − 8 = 0 ⇒ x = 8.
Solutions: x = 0 or x = 8.
(You can check: 7·0^2 = 0 = 56·0, and 7·8^2 = 448 = 56·8.)
2. Factor out the greatest common factor 7x: 7x(x − 8) = 0.
3. Use the zero-product property: 7x = 0 ⇒ x = 0, or x − 8 = 0 ⇒ x = 8.
Solutions: x = 0 or x = 8.
(You can check: 7·0^2 = 0 = 56·0, and 7·8^2 = 448 = 56·8.)
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