Solve for x 4(3x-3)^(2/3)=36

Solve for x 4(3x-3)^(2/3)=36
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor.
Divide by .
Simplify the right side.
Divide by .
Raise each side of the equation to the power of to eliminate the fractional exponent on the left side.
Simplify the exponent.
Simplify the left side.
Simplify .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify.
Simplify the right side.
Simplify .
Simplify the expression.
Rewrite as .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Raise to the power of .
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Divide by .
Next, use the negative value of the to find the second solution.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.