Final answer:
To solve the quadratic equation -x²-4x=2, it must be first rearranged into the form ax² + bx + c = 0, and then the quadratic formula can be applied to find the solutions for x.
Step-by-step explanation:
The equation presented is -x²-4x=2. To solve for x, we first need to rearrange the equation into standard quadratic form, which is ax² + bx + c = 0. After moving all terms to one side, we get x² + 4x + 2 = 0. Now, we can apply the quadratic formula to find the values of x.
The quadratic formula is: x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are coefficients of the quadratic equation. In our case, a=1, b=4, and c=2. Plugging these values into the formula, we can find the solutions for x.