Basic Math Examples

Solve for R 0.9=(4*8388608/R)/(0.0047652+8388608/R)
Step 1
Rewrite the equation as .
Step 2
Factor each term.
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Step 2.1
Factor out of .
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Step 2.1.1
Factor out of .
Step 2.1.2
Factor out of .
Step 2.1.3
Factor out of .
Step 2.1.4
Multiply by .
Step 2.2
Simplify the numerator.
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Step 2.2.1
Multiply by .
Step 2.2.2
Combine and .
Step 2.3
Simplify the denominator.
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Step 2.3.1
To write as a fraction with a common denominator, multiply by .
Step 2.3.2
Combine the numerators over the common denominator.
Step 2.4
Multiply by .
Step 2.5
Combine and .
Step 2.6
Multiply the numerator by the reciprocal of the denominator.
Step 2.7
Cancel the common factor of .
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Step 2.7.1
Factor out of .
Step 2.7.2
Cancel the common factor.
Step 2.7.3
Rewrite the expression.
Step 2.8
Cancel the common factor of .
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Step 2.8.1
Cancel the common factor.
Step 2.8.2
Rewrite the expression.
Step 2.9
Combine 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
Remove parentheses.
Step 3.3
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 4.3
Simplify the right side.
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Step 4.3.1
Apply the distributive property.
Step 4.3.2
Multiply.
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Step 4.3.2.1
Multiply by .
Step 4.3.2.2
Multiply by .
Step 5
Solve the equation.
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Step 5.1
Rewrite the equation as .
Step 5.2
Move all terms not containing to the right side of the equation.
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Step 5.2.1
Subtract from both sides of the equation.
Step 5.2.2
Subtract from .
Step 5.3
Divide each term in by and simplify.
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Step 5.3.1
Divide each term in by .
Step 5.3.2
Simplify the left side.
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Step 5.3.2.1
Cancel the common factor of .
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Step 5.3.2.1.1
Cancel the common factor.
Step 5.3.2.1.2
Divide by .
Step 5.3.3
Simplify the right side.
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Step 5.3.3.1
Divide by .