Basic Math Examples

Solve for a 1-(a-4/a)=1-4a^-2(1-a)
Step 1
Simplify each term.
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Step 1.1
Apply the distributive property.
Step 1.2
Multiply .
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Step 1.2.1
Multiply by .
Step 1.2.2
Multiply by .
Step 2
Simplify each term.
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Step 2.1
Rewrite the expression using the negative exponent rule .
Step 2.2
Combine and .
Step 2.3
Move the negative in front of the fraction.
Step 2.4
Apply the distributive property.
Step 2.5
Multiply by .
Step 2.6
Cancel the common factor of .
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Step 2.6.1
Move the leading negative in into the numerator.
Step 2.6.2
Factor out of .
Step 2.6.3
Factor out of .
Step 2.6.4
Cancel the common factor.
Step 2.6.5
Rewrite the expression.
Step 2.7
Combine and .
Step 2.8
Multiply by .
Step 3
Move all terms containing to the left side of the equation.
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Step 3.1
Add to both sides of the equation.
Step 3.2
Subtract from both sides of the equation.
Step 3.3
Combine the opposite terms in .
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Step 3.3.1
Subtract from .
Step 3.3.2
Add and .
Step 4
Find the LCD of the terms in the equation.
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Step 4.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 4.2
The LCM of one and any expression is the expression.
Step 5
Multiply each term in by to eliminate the fractions.
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Step 5.1
Multiply each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Simplify each term.
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Step 5.2.1.1
Multiply by .
Step 5.2.1.2
Multiply by by adding the exponents.
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Step 5.2.1.2.1
Move .
Step 5.2.1.2.2
Multiply by .
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Step 5.2.1.2.2.1
Raise to the power of .
Step 5.2.1.2.2.2
Use the power rule to combine exponents.
Step 5.2.1.2.3
Add and .
Step 5.2.1.3
Cancel the common factor of .
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Step 5.2.1.3.1
Cancel the common factor.
Step 5.2.1.3.2
Rewrite the expression.
Step 5.3
Simplify the right side.
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Step 5.3.1
Multiply by .
Step 6
Solve the equation.
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Step 6.1
Move all terms containing to the left side of the equation.
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Step 6.1.1
Subtract from both sides of the equation.
Step 6.1.2
Combine the opposite terms in .
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Step 6.1.2.1
Subtract from .
Step 6.1.2.2
Add and .
Step 6.2
Subtract from both sides of the equation.
Step 6.3
Divide each term in by and simplify.
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Step 6.3.1
Divide each term in by .
Step 6.3.2
Simplify the left side.
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Step 6.3.2.1
Dividing two negative values results in a positive value.
Step 6.3.2.2
Divide by .
Step 6.3.3
Simplify the right side.
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Step 6.3.3.1
Divide by .
Step 6.4
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form: