Final answer:
The expression involves simplifying and considering both positive and negative cases of the absolute value. Negative roots from quadratic equations may be discarded based on context, like concentrations.
Step-by-step explanation:
The solution to the equation (2 / 2.2) × (x - 3.3) / -6.6 is found by first simplifying the expression. To solve absolute value equations, you must consider both the positive and negative scenarios of the absolute value.
In the case where we evaluate for both signs in the numerator-first the + sign and then the - sign, we could have solutions like x = 0.0216 or x = -0.0224. However, for absolute value equations, negative results might be disregarded if the context does not support negative values (like in concentrations).
When solving quadratic equations, such as x² + 1.2 x 10^-2x - 6.0 × 10^-3 = 0, you would use the quadratic formula where a = 1, b = 1.2 × 10^-3, and c = -6.0 × 10^-3. This would yield solutions, where a negative root may be ignored if it doesn't make sense in the context, for example, a concentration cannot be negative.