Basic Math Examples

Solve for t i=q/t
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
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 4
Solve the equation.
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Step 4.1
Rewrite the equation as .
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
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Step 4.2.3.2
Multiply.
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Step 4.2.3.2.1
Combine.
Step 4.2.3.2.2
Simplify the denominator.
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Step 4.2.3.2.2.1
Raise to the power of .
Step 4.2.3.2.2.2
Raise to the power of .
Step 4.2.3.2.2.3
Use the power rule to combine exponents.
Step 4.2.3.2.2.4
Add and .
Step 4.2.3.2.2.5
Rewrite as .
Step 4.2.3.3
Move the negative one from the denominator of .
Step 4.2.3.4
Rewrite as .