Algebra Examples

Solve by Factoring cube root of 6x=-2
Step 1
Add to both sides of the equation.
Step 2
Subtract from both sides of the equation.
Step 3
To remove the radical on the left side of the equation, cube both sides of the equation.
Step 4
Simplify each side of the equation.
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Step 4.1
Use to rewrite as .
Step 4.2
Simplify the left side.
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Step 4.2.1
Simplify .
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Step 4.2.1.1
Multiply the exponents in .
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Step 4.2.1.1.1
Apply the power rule and multiply exponents, .
Step 4.2.1.1.2
Cancel the common factor of .
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Step 4.2.1.1.2.1
Cancel the common factor.
Step 4.2.1.1.2.2
Rewrite the expression.
Step 4.2.1.2
Simplify.
Step 4.3
Simplify the right side.
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Step 4.3.1
Raise to the power of .
Step 5
Divide each term in by and simplify.
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Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Cancel the common factor of .
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Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Divide by .
Step 5.3
Simplify the right side.
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Step 5.3.1
Cancel the common factor of and .
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Step 5.3.1.1
Factor out of .
Step 5.3.1.2
Cancel the common factors.
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Step 5.3.1.2.1
Factor out of .
Step 5.3.1.2.2
Cancel the common factor.
Step 5.3.1.2.3
Rewrite the expression.
Step 5.3.2
Move the negative in front of the fraction.