Final answer:
The statement is false as the two factors that multiply to yield 24 do not necessarily have to be 24 themselves. The correct approach is to equate the expression to zero and solve the quadratic equation to find the values of x.
Step-by-step explanation:
The statement 'If (x+2)(x+3)=24, then (x+2)=24 or (x+3)=24' is false. When two numbers multiply to give 24, it does not necessarily mean that one of them must be 24. For example, 8 and 3 multiply to give 24, but neither 8 nor 3 is 24.
For a quadratic equation of the form ax²+bx+c = 0, we use the quadratic formula to find the values of x that satisfy the equation. However, in this case, we can first simplify the original equation (x+2)(x+3)=24 to its equivalent quadratic form and then solve for x either by factoring, completing the square, or using the quadratic formula.