Final answer:
To solve the equation 8x^2-24=0, divide each term by the greatest common factor, factor or use the quadratic formula to find the solutions.
Step-by-step explanation:
To solve the equation 8x^2-24=0, we can begin by factoring out the greatest common factor of the terms. In this case, the greatest common factor is 8.
Dividing each term by 8, we get x^2 - 3 = 0.
Next, we can solve this quadratic equation by factoring or by using the quadratic formula.
Factoring x^2 - 3, we have (x - √3)(x + √3) = 0.
Setting each factor equal to zero, we find x = √3 and x = -√3 as the solutions.