Algebra Examples

Solve Using the Quadratic Formula N=(t^2-t)/2
Step 1
Move all terms to the left side of the equation and simplify.
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Step 1.1
Simplify the right side.
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Step 1.1.1
Factor out of .
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Step 1.1.1.1
Factor out of .
Step 1.1.1.2
Factor out of .
Step 1.1.1.3
Factor out of .
Step 1.2
Subtract from both sides of the equation.
Step 2
Simplify .
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Step 2.1
To write as a fraction with a common denominator, multiply by .
Step 2.2
Simplify terms.
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Step 2.2.1
Combine and .
Step 2.2.2
Combine the numerators over the common denominator.
Step 2.3
Simplify the numerator.
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Step 2.3.1
Move to the left of .
Step 2.3.2
Apply the distributive property.
Step 2.3.3
Multiply by by adding the exponents.
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Step 2.3.3.1
Move .
Step 2.3.3.2
Multiply by .
Step 2.3.4
Multiply .
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Step 2.3.4.1
Multiply by .
Step 2.3.4.2
Multiply by .
Step 3
Set the numerator equal to zero.
Step 4
Solve the equation for .
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Step 4.1
Move all terms not containing to the right side of the equation.
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Step 4.1.1
Add to both sides of the equation.
Step 4.1.2
Subtract from both sides of the equation.
Step 4.2
Divide each term in by and simplify.
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Step 4.2.1
Divide each term in by .
Step 4.2.2
Simplify the left side.
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Step 4.2.2.1
Cancel the common factor of .
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Step 4.2.2.1.1
Cancel the common factor.
Step 4.2.2.1.2
Divide by .
Step 4.2.3
Simplify the right side.
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Step 4.2.3.1
Move the negative in front of the fraction.