Final answer:
The question relates to solving quadratic equations in mathematics by using methods like the quadratic formula, factoring, completing the square or recognizing perfect squares, in addition to understanding the sign rules for multiplication and division.
Step-by-step explanation:
The question focuses on solving quadratic equations, which is a topic in mathematics. To solve a quadratic equation of the form ax² + bx + c = 0, you can use the quadratic formula, complete the square, or, if possible, recognize it as a perfect square. When two numbers multiply, the sign of the result depends on the signs of the numbers multiplied, following specific multiplication rules for signs.
Solving quadratic equations often requires rearranging the equation to set it equal to zero and then applying the quadratic formula, factoring, or completing the square. For instance, if you have a perfect square, it simplifies the process since you can take the square root of both sides directly. Understanding multiplication rules for signs is essential for rearranging equations involving products and division.