Basic Math Examples

Solve for r 200=100(1+r/2)^8
Step 1
Rewrite the equation as .
Step 2
Divide each term in by and simplify.
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Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Divide by .
Step 2.3
Simplify the right side.
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Step 2.3.1
Divide by .
Step 3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 4
The complete solution is the result of both the positive and negative portions of the solution.
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Step 4.1
First, use the positive value of the to find the first solution.
Step 4.2
Subtract from both sides of the equation.
Step 4.3
Multiply both sides of the equation by .
Step 4.4
Simplify both sides of the equation.
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Step 4.4.1
Simplify the left side.
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Step 4.4.1.1
Cancel the common factor of .
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Step 4.4.1.1.1
Cancel the common factor.
Step 4.4.1.1.2
Rewrite the expression.
Step 4.4.2
Simplify the right side.
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Step 4.4.2.1
Simplify .
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Step 4.4.2.1.1
Apply the distributive property.
Step 4.4.2.1.2
Multiply by .
Step 4.5
Next, use the negative value of the to find the second solution.
Step 4.6
Subtract from both sides of the equation.
Step 4.7
Multiply both sides of the equation by .
Step 4.8
Simplify both sides of the equation.
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Step 4.8.1
Simplify the left side.
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Step 4.8.1.1
Cancel the common factor of .
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Step 4.8.1.1.1
Cancel the common factor.
Step 4.8.1.1.2
Rewrite the expression.
Step 4.8.2
Simplify the right side.
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Step 4.8.2.1
Simplify .
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Step 4.8.2.1.1
Apply the distributive property.
Step 4.8.2.1.2
Multiply.
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Step 4.8.2.1.2.1
Multiply by .
Step 4.8.2.1.2.2
Multiply by .
Step 4.9
The complete solution is the result of both the positive and negative portions of the solution.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: