Basic Math Examples

Solve for r 1-(136*1-0.00000836(1+r)^-136)=0.07441
Step 1
Simplify .
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Step 1.1
Simplify each term.
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Step 1.1.1
Simplify each term.
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Step 1.1.1.1
Multiply by .
Step 1.1.1.2
Rewrite the expression using the negative exponent rule .
Step 1.1.1.3
Combine and .
Step 1.1.1.4
Move the negative in front of the fraction.
Step 1.1.2
Apply the distributive property.
Step 1.1.3
Multiply by .
Step 1.1.4
Multiply .
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Step 1.1.4.1
Multiply by .
Step 1.1.4.2
Multiply by .
Step 1.2
Subtract from .
Step 2
Move all terms not containing to the right side of the equation.
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Step 2.1
Add to both sides of the equation.
Step 2.2
Add and .
Step 3
Find the LCD of the terms in the equation.
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Step 3.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 3.2
The LCM of one and any expression is the expression.
Step 4
Multiply each term in by to eliminate the fractions.
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Step 4.1
Multiply each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Rewrite the expression.
Step 5
Solve the equation.
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Step 5.1
Rewrite the equation as .
Step 5.2
Divide each term in by and simplify.
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Step 5.2.1
Divide each term in by .
Step 5.2.2
Simplify the left side.
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Step 5.2.2.1
Cancel the common factor of .
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Step 5.2.2.1.1
Cancel the common factor.
Step 5.2.2.1.2
Divide by .
Step 5.2.3
Simplify the right side.
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Step 5.2.3.1
Divide by .
Step 5.3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 5.4
The complete solution is the result of both the positive and negative portions of the solution.
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Step 5.4.1
First, use the positive value of the to find the first solution.
Step 5.4.2
Subtract from both sides of the equation.
Step 5.4.3
Next, use the negative value of the to find the second solution.
Step 5.4.4
Subtract from both sides of the equation.
Step 5.4.5
The complete solution is the result of both the positive and negative portions of the solution.
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form: