Final answer:
To solve for x in a quadratic equation, use the quadratic formula. After rearranging the equation and identifying a, b, and c, apply the formula to find two possible values of x, but depending on context, only one might be valid.
Step-by-step explanation:
The question presented is mathematical in nature and involves solving a quadratic equation. The general form of a quadratic equation is ax² + bx + c = 0. To solve for x, one can use the quadratic formula, which is x = −b ± √(b² − 4ac) / (2a). When applying this formula to a given quadratic equation, you will obtain two possible solutions for x. These solutions can be either real or complex numbers. If a problem context suggests that a particular solution cannot exist (for example, if x represents a concentration, which cannot be negative), then you would discard the non-feasible solution.
In the given problem, once the quadratic equation is rearranged to equal zero and the coefficients identified as a, b, and c, the quadratic formula is applied to find the two possible values of x. However, in some contexts, only one of these values will be valid based on the additional constraints of the scenario, such as concentrations in chemistry being non-negative.