Basic Math Examples

Solve for y (9y-3)/(-2y+4)=2
Step 1
Factor each term.
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Step 1.1
Factor out of .
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Step 1.1.1
Factor out of .
Step 1.1.2
Factor out of .
Step 1.1.3
Factor out of .
Step 1.2
Factor out of .
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Step 1.2.1
Factor out of .
Step 1.2.2
Factor out of .
Step 1.2.3
Factor out 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
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
Rewrite using the commutative property of multiplication.
Step 3.2.2
Cancel the common factor of .
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Step 3.2.2.1
Cancel the common factor.
Step 3.2.2.2
Rewrite the expression.
Step 3.2.3
Multiply by .
Step 3.2.4
Cancel the common factor of .
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Step 3.2.4.1
Cancel the common factor.
Step 3.2.4.2
Divide by .
Step 3.2.5
Apply the distributive property.
Step 3.2.6
Multiply.
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Step 3.2.6.1
Multiply by .
Step 3.2.6.2
Multiply by .
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 3.3.3
Apply the distributive property.
Step 3.3.4
Multiply.
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Step 3.3.4.1
Multiply by .
Step 3.3.4.2
Multiply by .
Step 4
Solve the equation.
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Step 4.1
Move all terms containing to the left side of the equation.
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Step 4.1.1
Add to both sides of the equation.
Step 4.1.2
Add and .
Step 4.2
Move all terms not containing to the right side of the equation.
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Step 4.2.1
Add to both sides of the equation.
Step 4.2.2
Add and .
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 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: