It means that you manipulate the equation in such a way that the variable appears only on one side, by itself.
The variables may have different values.
Solving for one variable makes it easy to put in a value for the other variables, and find a value for the first variable.
You first have to get rid of the numbers that don't have variables. then you divide by the variable and solve for it.
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Rearrange the formula so that the indicated variable is the subject of the mathematical formula.
The answer will depend on the exact form of the formula.
The variables may have different values.
Sometimes we are given a formula, such as something from geometry, and we need to solve for some variable other than the "standard" one. For instance, the formula for the perimeter P of a square with sides of length s is P = 4s. We might need to solve this equation for s because we have a lot of squares' perimeters, and we want to plug those perimeter values into one formula and have that formula (maybe in our graphing calculator) spit out the value for the length of each square's side. This process of solving a formula for a specified variable is called "solving literal equations".
Solving for one variable makes it easy to put in a value for the other variables, and find a value for the first variable.
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You first have to get rid of the numbers that don't have variables. then you divide by the variable and solve for it.
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Assuming the simplest case of two equations in two variable: solve one of the equations for one of the variables. Substitute the value found for the variable in all places in which the variable appears in the second equation. Solve the resulting equation. This will give you the value of one of the variables. Finally, replace this value in one of the original equations, and solve, to find the other variable.
The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.
All you do is set the quadratic function to equal to 0. Then you can either factor or use the quadratic formula to solve for your unknown variable.
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