its an equation like this
x squared plus 4 equals 7
or
a number you dont know times itsself plus 4 is 7. What is the number you dont know
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In math speak: Solving the equation means finding 'x' values that make the equation true. These 'x' values are called the roots of the quadratic.
You can't. Math is not an algebraic expression. Simplifying an equation, however, can take multiple forms. Sometimes simplify simply means to solve an equation. Other times, it can mean to bring an equation into a standard form, such as with line equations, or quadratic equations.
Physics problems, usually dealing with motion and acceleration.
It means that they can be represented by real numbers or lengths along the number line. It means that the graph of the quadratic crosses (meets) the horizontal axis.
It really depends what you work in; if you work in science, or in engineering (applied science), you will need the quadratic equation - and a lot more advanced math as well. Examples that involve the quadratic equation are found in abundance in algebra textbooks; for example, an object in free fall.