Basic Math Examples

Solve for B 36=1/2*(B(B+1))
Step 1
Rewrite the equation as .
Step 2
Multiply both sides of the equation by .
Step 3
Simplify both sides of the equation.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Simplify .
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Step 3.1.1.1
Apply the distributive property.
Step 3.1.1.2
Simplify the expression.
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Step 3.1.1.2.1
Multiply by .
Step 3.1.1.2.2
Multiply by .
Step 3.1.1.3
Apply the distributive property.
Step 3.1.1.4
Combine and .
Step 3.1.1.5
Combine and .
Step 3.1.1.6
Apply the distributive property.
Step 3.1.1.7
Cancel the common factor of .
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Step 3.1.1.7.1
Cancel the common factor.
Step 3.1.1.7.2
Rewrite the expression.
Step 3.1.1.8
Cancel the common factor of .
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Step 3.1.1.8.1
Cancel the common factor.
Step 3.1.1.8.2
Rewrite the expression.
Step 3.2
Simplify the right side.
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Step 3.2.1
Multiply by .
Step 4
Subtract from both sides of the equation.
Step 5
Factor using the AC method.
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Step 5.1
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 5.2
Write the factored form using these integers.
Step 6
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 7
Set equal to and solve for .
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Step 7.1
Set equal to .
Step 7.2
Add to both sides of the equation.
Step 8
Set equal to and solve for .
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Step 8.1
Set equal to .
Step 8.2
Subtract from both sides of the equation.
Step 9
The final solution is all the values that make true.