Final answer:
To solve a quadratic equation, use the quadratic formula with the coefficients of the terms. For multiplication and division, follow the sign rules, and for powers, remember that a negative exponent indicates a reciprocal.
Step-by-step explanation:
The problem presented seems to be a quadratic equation which is a polynomial equation of the second degree. The general form of a quadratic equation is ax² + bx + c = 0. To solve for x, we can use the quadratic formula x = (-b ± √(b² - 4ac)) / (2a). For instance, if we have an equation like x² + 0.0211x - 0.0211 = 0, we can identify a = 1, b = 0.0211, and c = -0.0211 and plug them into the quadratic formula to find the values of x.
Additionally, when multiplying or dividing numbers, the product or quotient follows certain sign rules. For example, multiplying two positive numbers or two negative numbers always yields a positive result. Multiplying numbers with opposite signs gives a negative result, similar to the division rules for signs.
Lastly, when dealing with powers, a number raised to a negative exponent is equivalent to one over the number raised to the positive exponent, such as in x⁻¹ = 1/x. This is a useful concept when simplifying expressions involving negative exponents.