Basic Math Examples

Solve for R i=V/(R+r)
Step 1
Rewrite the equation as .
Step 2
Find the LCD of the terms in the equation.
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Step 2.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 2.2
Remove parentheses.
Step 2.3
The LCM of one and any expression is the expression.
Step 3
Multiply each term in by to eliminate the fractions.
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Step 3.1
Multiply each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of .
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Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Rewrite the expression.
Step 3.3
Simplify the right side.
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Step 3.3.1
Apply the distributive property.
Step 4
Solve the equation.
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Step 4.1
Rewrite the equation as .
Step 4.2
Subtract from both sides of the equation.
Step 4.3
Divide each term in by and simplify.
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Step 4.3.1
Divide each term in by .
Step 4.3.2
Simplify the left side.
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Step 4.3.2.1
Cancel the common factor of .
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Step 4.3.2.1.1
Cancel the common factor.
Step 4.3.2.1.2
Divide by .
Step 4.3.3
Simplify the right side.
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Step 4.3.3.1
Simplify each term.
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Step 4.3.3.1.1
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Step 4.3.3.1.2
Multiply.
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Step 4.3.3.1.2.1
Combine.
Step 4.3.3.1.2.2
Simplify the denominator.
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Step 4.3.3.1.2.2.1
Raise to the power of .
Step 4.3.3.1.2.2.2
Raise to the power of .
Step 4.3.3.1.2.2.3
Use the power rule to combine exponents.
Step 4.3.3.1.2.2.4
Add and .
Step 4.3.3.1.2.2.5
Rewrite as .
Step 4.3.3.1.3
Move the negative one from the denominator of .
Step 4.3.3.1.4
Rewrite as .
Step 4.3.3.1.5
Cancel the common factor of .
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Step 4.3.3.1.5.1
Cancel the common factor.
Step 4.3.3.1.5.2
Divide by .
Step 4.3.3.1.6
Rewrite as .