Basic Math Examples

Solve for n cube root of 3n+5 = cube root of 6n-4
Step 1
To remove the radical on the left side of the equation, cube both sides of the equation.
Step 2
Simplify each side of the equation.
Tap for more steps...
Step 2.1
Use to rewrite as .
Step 2.2
Simplify the left side.
Tap for more steps...
Step 2.2.1
Simplify .
Tap for more steps...
Step 2.2.1.1
Multiply the exponents in .
Tap for more steps...
Step 2.2.1.1.1
Apply the power rule and multiply exponents, .
Step 2.2.1.1.2
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.1.2.1
Cancel the common factor.
Step 2.2.1.1.2.2
Rewrite the expression.
Step 2.2.1.2
Simplify.
Step 2.3
Simplify the right side.
Tap for more steps...
Step 2.3.1
Simplify .
Tap for more steps...
Step 2.3.1.1
Factor out of .
Tap for more steps...
Step 2.3.1.1.1
Factor out of .
Step 2.3.1.1.2
Factor out of .
Step 2.3.1.1.3
Factor out of .
Step 2.3.1.2
Rewrite as .
Tap for more steps...
Step 2.3.1.2.1
Use to rewrite as .
Step 2.3.1.2.2
Apply the power rule and multiply exponents, .
Step 2.3.1.2.3
Combine and .
Step 2.3.1.2.4
Cancel the common factor of .
Tap for more steps...
Step 2.3.1.2.4.1
Cancel the common factor.
Step 2.3.1.2.4.2
Rewrite the expression.
Step 2.3.1.2.5
Simplify.
Step 2.3.1.3
Apply the distributive property.
Step 2.3.1.4
Multiply.
Tap for more steps...
Step 2.3.1.4.1
Multiply by .
Step 2.3.1.4.2
Multiply by .
Step 3
Solve for .
Tap for more steps...
Step 3.1
Move all terms containing to the left side of the equation.
Tap for more steps...
Step 3.1.1
Subtract from both sides of the equation.
Step 3.1.2
Subtract from .
Step 3.2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 3.2.1
Subtract from both sides of the equation.
Step 3.2.2
Subtract from .
Step 3.3
Divide each term in by and simplify.
Tap for more steps...
Step 3.3.1
Divide each term in by .
Step 3.3.2
Simplify the left side.
Tap for more steps...
Step 3.3.2.1
Cancel the common factor of .
Tap for more steps...
Step 3.3.2.1.1
Cancel the common factor.
Step 3.3.2.1.2
Divide by .
Step 3.3.3
Simplify the right side.
Tap for more steps...
Step 3.3.3.1
Divide by .