# Finite Math Examples

Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of , the coefficient of .
Add the term to each side of the equation.
Simplify the equation.
Simplify the right side.
Simplify each term.
Apply the product rule to .
Raise to the power of to get .
Multiply by to get .
Apply the product rule to .
Raise to the power of to get .
Raise to the power of to get .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by to get .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by to get .
Add and to get .
Simplify each term.
Apply the product rule to .
Raise to the power of to get .
Multiply by to get .
Apply the product rule to .
Raise to the power of to get .
Raise to the power of to get .
Factor the perfect trinomial square into .
Solve the equation for .
Take the square root of each side of the equation to set up the solution for
Remove the perfect root factor under the radical to solve for .
Simplify the right side of the equation.
Rewrite using the quotient rule for radicals.
Simplify the denominator.
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Remove parentheses.
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.

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