solve the quadratic equation 5X^2 +75X equals zero by factoring out the GCF
To solve the quadratic equation 5x^2 + 75x = 0 by factoring out the greatest common factor (GCF), we can first factor out 5x from both terms:
5x(x + 15) = 0
Now we have a product equal to zero, so the equation can be solved by setting each factor equal to zero:
5x = 0 (x + 15) = 0
Now solve for x in each equation:
For 5x = 0:
Divide both sides by 5: x = 0
For (x + 15) = 0:
Subtract 15 from both sides: x = -15
Therefore, the solutions to the quadratic equation 5x^2 + 75x = 0 are x = 0 and x = -15.