Basic Math Examples

Solve for r 3r(r+3)=30
Step 1
Divide each term in by and simplify.
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Step 1.1
Divide each term in by .
Step 1.2
Simplify the left side.
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Step 1.2.1
Cancel the common factor of .
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Step 1.2.1.1
Cancel the common factor.
Step 1.2.1.2
Divide by .
Step 1.2.2
Apply the distributive property.
Step 1.2.3
Simplify the expression.
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Step 1.2.3.1
Multiply by .
Step 1.2.3.2
Move to the left of .
Step 1.3
Simplify the right side.
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Step 1.3.1
Divide by .
Step 2
Subtract from both sides of the equation.
Step 3
Factor using the AC method.
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Step 3.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 3.2
Write the factored form using these integers.
Step 4
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 5
Set equal to and solve for .
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Step 5.1
Set equal to .
Step 5.2
Add to both sides of the equation.
Step 6
Set equal to and solve for .
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Step 6.1
Set equal to .
Step 6.2
Subtract from both sides of the equation.
Step 7
The final solution is all the values that make true.