Basic Math Examples

Solve for m v=k square root of (Fl)/m
Step 1
Rewrite the equation as .
Step 2
To remove the radical on the left side of the equation, square both sides of the equation.
Step 3
Simplify each side of the equation.
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Step 3.1
Use to rewrite as .
Step 3.2
Simplify the left side.
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Step 3.2.1
Simplify .
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Step 3.2.1.1
Use the power rule to distribute the exponent.
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Step 3.2.1.1.1
Apply the product rule to .
Step 3.2.1.1.2
Apply the product rule to .
Step 3.2.1.2
Combine and .
Step 3.2.1.3
Use the power rule to distribute the exponent.
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Step 3.2.1.3.1
Apply the product rule to .
Step 3.2.1.3.2
Apply the product rule to .
Step 3.2.1.3.3
Apply the product rule to .
Step 3.2.1.4
Simplify the numerator.
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Step 3.2.1.4.1
Multiply the exponents in .
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Step 3.2.1.4.1.1
Apply the power rule and multiply exponents, .
Step 3.2.1.4.1.2
Cancel the common factor of .
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Step 3.2.1.4.1.2.1
Cancel the common factor.
Step 3.2.1.4.1.2.2
Rewrite the expression.
Step 3.2.1.4.2
Simplify.
Step 3.2.1.4.3
Multiply the exponents in .
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Step 3.2.1.4.3.1
Apply the power rule and multiply exponents, .
Step 3.2.1.4.3.2
Cancel the common factor of .
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Step 3.2.1.4.3.2.1
Cancel the common factor.
Step 3.2.1.4.3.2.2
Rewrite the expression.
Step 3.2.1.4.4
Simplify.
Step 3.2.1.5
Simplify the denominator.
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Step 3.2.1.5.1
Multiply the exponents in .
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Step 3.2.1.5.1.1
Apply the power rule and multiply exponents, .
Step 3.2.1.5.1.2
Cancel the common factor of .
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Step 3.2.1.5.1.2.1
Cancel the common factor.
Step 3.2.1.5.1.2.2
Rewrite the expression.
Step 3.2.1.5.2
Simplify.
Step 4
Solve for .
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Step 4.1
Find the LCD of the terms in the equation.
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Step 4.1.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 4.1.2
The LCM of one and any expression is the expression.
Step 4.2
Multiply each term in by to eliminate the fractions.
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Step 4.2.1
Multiply 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
Rewrite the expression.
Step 4.3
Solve the equation.
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Step 4.3.1
Rewrite the equation as .
Step 4.3.2
Divide each term in by and simplify.
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Step 4.3.2.1
Divide each term in by .
Step 4.3.2.2
Simplify the left side.
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Step 4.3.2.2.1
Cancel the common factor of .
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Step 4.3.2.2.1.1
Cancel the common factor.
Step 4.3.2.2.1.2
Divide by .