Solve the following quadratic equation by factoring out the greatest common factor (GCF): 2x2−14x=0 .

Answer 1

First, we can factor out a 2 from both terms to find the GCF:
2x² - 14x = 2(x² - 7x)

Next, we can factor out an x from the terms inside the parentheses:
2(x² - 7x) = 2x(x - 7)

Therefore, the quadratic equation 2x² - 14x = 0 can be factored as 2x(x - 7).