Finite Math Examples

Solve for x 8/(3-4x)=5/(2x+1/4)
Step 1
Simplify both sides.
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Step 1.1
Simplify the denominator.
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Step 1.1.1
To write as a fraction with a common denominator, multiply by .
Step 1.1.2
Combine and .
Step 1.1.3
Combine the numerators over the common denominator.
Step 1.1.4
Multiply by .
Step 1.2
Multiply the numerator by the reciprocal of the denominator.
Step 1.3
Multiply .
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Step 1.3.1
Combine and .
Step 1.3.2
Multiply by .
Step 2
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
Step 3
Solve the equation for .
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Step 3.1
Simplify .
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Step 3.1.1
Rewrite.
Step 3.1.2
Simplify by adding zeros.
Step 3.1.3
Apply the distributive property.
Step 3.1.4
Multiply.
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Step 3.1.4.1
Multiply by .
Step 3.1.4.2
Multiply by .
Step 3.2
Simplify .
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Step 3.2.1
Apply the distributive property.
Step 3.2.2
Multiply.
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Step 3.2.2.1
Multiply by .
Step 3.2.2.2
Multiply by .
Step 3.3
Move all terms containing to the left side of the equation.
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Step 3.3.1
Add to both sides of the equation.
Step 3.3.2
Add and .
Step 3.4
Move all terms not containing to the right side of the equation.
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Step 3.4.1
Subtract from both sides of the equation.
Step 3.4.2
Subtract from .
Step 3.5
Divide each term in by and simplify.
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Step 3.5.1
Divide each term in by .
Step 3.5.2
Simplify the left side.
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Step 3.5.2.1
Cancel the common factor of .
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Step 3.5.2.1.1
Cancel the common factor.
Step 3.5.2.1.2
Divide by .
Step 3.5.3
Simplify the right side.
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Step 3.5.3.1
Cancel the common factor of and .
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Step 3.5.3.1.1
Factor out of .
Step 3.5.3.1.2
Cancel the common factors.
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Step 3.5.3.1.2.1
Factor out of .
Step 3.5.3.1.2.2
Cancel the common factor.
Step 3.5.3.1.2.3
Rewrite the expression.
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form: