Finite Math Examples

Solve for c R=(2(GM))/(c^2)
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 4.3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 4.4
Simplify .
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Step 4.4.1
Rewrite as .
Step 4.4.2
Multiply by .
Step 4.4.3
Combine and simplify the denominator.
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Step 4.4.3.1
Multiply by .
Step 4.4.3.2
Raise to the power of .
Step 4.4.3.3
Raise to the power of .
Step 4.4.3.4
Use the power rule to combine exponents.
Step 4.4.3.5
Add and .
Step 4.4.3.6
Rewrite as .
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Step 4.4.3.6.1
Use to rewrite as .
Step 4.4.3.6.2
Apply the power rule and multiply exponents, .
Step 4.4.3.6.3
Combine and .
Step 4.4.3.6.4
Cancel the common factor of .
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Step 4.4.3.6.4.1
Cancel the common factor.
Step 4.4.3.6.4.2
Rewrite the expression.
Step 4.4.3.6.5
Simplify.
Step 4.4.4
Combine using the product rule for radicals.
Step 4.5
The complete solution is the result of both the positive and negative portions of the solution.
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Step 4.5.1
First, use the positive value of the to find the first solution.
Step 4.5.2
Next, use the negative value of the to find the second solution.
Step 4.5.3
The complete solution is the result of both the positive and negative portions of the solution.