Basic Math Examples

Solve for b (b-c)c^2+(c-a)c+(a-b)=0
Step 1
Simplify each term.
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Step 1.1
Apply the distributive property.
Step 1.2
Multiply by by adding the exponents.
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Step 1.2.1
Move .
Step 1.2.2
Multiply by .
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Step 1.2.2.1
Raise to the power of .
Step 1.2.2.2
Use the power rule to combine exponents.
Step 1.2.3
Add and .
Step 1.3
Apply the distributive property.
Step 1.4
Multiply by .
Step 2
Move all terms not containing to the right side of the equation.
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Step 2.1
Add to both sides of the equation.
Step 2.2
Subtract from both sides of the equation.
Step 2.3
Add to both sides of the equation.
Step 2.4
Subtract from both sides of the equation.
Step 3
Factor out of .
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Step 3.1
Factor out of .
Step 3.2
Factor out of .
Step 3.3
Factor out of .
Step 4
Rewrite as .
Step 5
Factor.
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Step 5.1
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 5.2
Remove unnecessary parentheses.
Step 6
Divide each term in by and simplify.
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Step 6.1
Divide each term in by .
Step 6.2
Simplify the left side.
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Step 6.2.1
Cancel the common factor of .
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Step 6.2.1.1
Cancel the common factor.
Step 6.2.1.2
Rewrite the expression.
Step 6.2.2
Cancel the common factor of .
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Step 6.2.2.1
Cancel the common factor.
Step 6.2.2.2
Divide by .
Step 6.3
Simplify the right side.
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Step 6.3.1
Simplify each term.
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Step 6.3.1.1
Move the negative in front of the fraction.
Step 6.3.1.2
Move the negative in front of the fraction.