Final answer:
The equation in standard form is x² + 2x - 14 = 0.
Step-by-step explanation:
The equation in standard form can be written as follows: x² + 2x - 14 = 0. To obtain this equation, you can use the given solution set, which is {2, -7}. The solution set represents the values of x that make the equation equal to zero. Given that the roots of the equation are 2 and -7, you can write the equation in factored form as (x - 2)(x + 7) = 0. Expanding this equation will yield the standard form equation.