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Finite Math Examples
Step 1
Subtract from both sides of the equation.
Step 2
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 3
Step 3.1
Rewrite as .
Step 3.2
Rewrite as .
Step 3.3
Rewrite as .
Step 3.4
Rewrite as .
Step 3.5
Pull terms out from under the radical, assuming positive real numbers.
Step 3.6
Move to the left of .
Step 4
Step 4.1
First, use the positive value of the to find the first solution.
Step 4.2
Move all terms not containing to the right side of the equation.
Step 4.2.1
Add to both sides of the equation.
Step 4.2.2
Reorder and .
Step 4.3
Divide each term in by and simplify.
Step 4.3.1
Divide each term in by .
Step 4.3.2
Simplify the left side.
Step 4.3.2.1
Cancel the common factor of .
Step 4.3.2.1.1
Cancel the common factor.
Step 4.3.2.1.2
Divide by .
Step 4.4
Next, use the negative value of the to find the second solution.
Step 4.5
Move all terms not containing to the right side of the equation.
Step 4.5.1
Add to both sides of the equation.
Step 4.5.2
Reorder and .
Step 4.6
Divide each term in by and simplify.
Step 4.6.1
Divide each term in by .
Step 4.6.2
Simplify the left side.
Step 4.6.2.1
Cancel the common factor of .
Step 4.6.2.1.1
Cancel the common factor.
Step 4.6.2.1.2
Divide by .
Step 4.6.3
Simplify the right side.
Step 4.6.3.1
Move the negative in front of the fraction.
Step 4.7
The complete solution is the result of both the positive and negative portions of the solution.