Basic Math Examples

Solve for a a/(a-1)=-1/(a+1)
Step 1
Move the negative in front of the fraction.
Step 2
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
Step 3
Solve the equation for .
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Step 3.1
Simplify .
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Step 3.1.1
Rewrite.
Step 3.1.2
Simplify by adding zeros.
Step 3.1.3
Apply the distributive property.
Step 3.1.4
Simplify the expression.
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Step 3.1.4.1
Multiply by .
Step 3.1.4.2
Multiply by .
Step 3.2
Simplify .
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Step 3.2.1
Simplify by multiplying through.
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Step 3.2.1.1
Apply the distributive property.
Step 3.2.1.2
Simplify the expression.
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Step 3.2.1.2.1
Move to the left of .
Step 3.2.1.2.2
Multiply by .
Step 3.2.2
Rewrite as .
Step 3.3
Move all terms containing to the left side of the equation.
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Step 3.3.1
Add to both sides of the equation.
Step 3.3.2
Add and .
Step 3.4
Subtract from both sides of the equation.
Step 3.5
Use the quadratic formula to find the solutions.
Step 3.6
Substitute the values , , and into the quadratic formula and solve for .
Step 3.7
Simplify.
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Step 3.7.1
Simplify the numerator.
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Step 3.7.1.1
Raise to the power of .
Step 3.7.1.2
Multiply .
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Step 3.7.1.2.1
Multiply by .
Step 3.7.1.2.2
Multiply by .
Step 3.7.1.3
Add and .
Step 3.7.1.4
Rewrite as .
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Step 3.7.1.4.1
Factor out of .
Step 3.7.1.4.2
Rewrite as .
Step 3.7.1.5
Pull terms out from under the radical.
Step 3.7.2
Multiply by .
Step 3.7.3
Simplify .
Step 3.8
The final answer is the combination of both solutions.
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form: