To solve the quadratic equation 2x^2 - 14x = 0 by factoring out the greatest common factor (GCF), we first notice that both terms have a common factor of 2x. Factoring this out, we get:
2x(x - 7) = 0
Setting each factor equal to zero, we have:
2x = 0 or x - 7 = 0
Solving for x in each equation:
For 2x = 0:
Dividing by 2 on both sides gives x = 0.
For x - 7 = 0:
Adding 7 to both sides gives x = 7.
Therefore, the smaller solution is x = 0 and the larger solution is x = 7.
Solve the following quadratic equation by factoring out the greatest common factor (GCF): 2x2−14x=0 .
The smaller solution is x= , and the larger solution is x= .
1 answer
1 answer