Finite Math Examples

Solve for x 21820/(x(18)+y(25))=940
Step 1
Factor each term.
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Step 1.1
Move to the left of .
Step 1.2
Move to the left of .
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
Remove parentheses.
Step 2.3
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 3.3
Simplify the right side.
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Step 3.3.1
Apply the distributive property.
Step 3.3.2
Multiply.
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Step 3.3.2.1
Multiply by .
Step 3.3.2.2
Multiply by .
Step 4
Solve the equation.
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Step 4.1
Rewrite the equation as .
Step 4.2
Subtract from both sides of the equation.
Step 4.3
Divide each term in by and simplify.
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Step 4.3.1
Divide each term in by .
Step 4.3.2
Simplify the left side.
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Step 4.3.2.1
Cancel the common factor of .
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Step 4.3.2.1.1
Cancel the common factor.
Step 4.3.2.1.2
Divide by .
Step 4.3.3
Simplify the right side.
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Step 4.3.3.1
Simplify each term.
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Step 4.3.3.1.1
Cancel the common factor of and .
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Step 4.3.3.1.1.1
Factor out of .
Step 4.3.3.1.1.2
Cancel the common factors.
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Step 4.3.3.1.1.2.1
Factor out of .
Step 4.3.3.1.1.2.2
Cancel the common factor.
Step 4.3.3.1.1.2.3
Rewrite the expression.
Step 4.3.3.1.2
Cancel the common factor of and .
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Step 4.3.3.1.2.1
Factor out of .
Step 4.3.3.1.2.2
Cancel the common factors.
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Step 4.3.3.1.2.2.1
Factor out of .
Step 4.3.3.1.2.2.2
Cancel the common factor.
Step 4.3.3.1.2.2.3
Rewrite the expression.
Step 4.3.3.1.3
Move the negative in front of the fraction.