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Finite Math Examples
Step 1
Step 1.1
Simplify .
Step 1.1.1
Subtract from .
Step 1.1.2
Move .
Step 1.1.3
Reorder and .
Step 1.2
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 1.3
Move all terms not containing to the right side of the equation.
Step 1.3.1
Add to both sides of the equation.
Step 1.3.2
Add and .
Step 2
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of .
Step 3
Add the term to each side of the equation.
Step 4
Step 4.1
Simplify the left side.
Step 4.1.1
One to any power is one.
Step 4.2
Simplify the right side.
Step 4.2.1
Simplify .
Step 4.2.1.1
One to any power is one.
Step 4.2.1.2
Add and .
Step 5
Factor the perfect trinomial square into .
Step 6
Step 6.1
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 6.2
Simplify .
Step 6.2.1
Rewrite as .
Step 6.2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 6.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 6.3.1
First, use the positive value of the to find the first solution.
Step 6.3.2
Move all terms not containing to the right side of the equation.
Step 6.3.2.1
Subtract from both sides of the equation.
Step 6.3.2.2
Subtract from .
Step 6.3.3
Next, use the negative value of the to find the second solution.
Step 6.3.4
Move all terms not containing to the right side of the equation.
Step 6.3.4.1
Subtract from both sides of the equation.
Step 6.3.4.2
Subtract from .
Step 6.3.5
The complete solution is the result of both the positive and negative portions of the solution.