Basic Math Examples

Solve for a (a+6)^2+(y+2)^2=64
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
Simplify .
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Step 3.1
Rewrite as .
Step 3.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 3.3
Simplify.
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Step 3.3.1
Add and .
Step 3.3.2
Apply the distributive property.
Step 3.3.3
Multiply by .
Step 3.3.4
Subtract from .
Step 4
The complete solution is the result of both the positive and negative portions of the solution.
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Step 4.1
First, use the positive value of the to find the first solution.
Step 4.2
Subtract from both sides of the equation.
Step 4.3
Next, use the negative value of the to find the second solution.
Step 4.4
Subtract from both sides of the equation.
Step 4.5
The complete solution is the result of both the positive and negative portions of the solution.