# Solve by Factoring 4(3-x)^(4/3)-5=59 Move to the left side of the equation by subtracting it from both sides.
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Factor.
Simplify.
Rewrite as .
Rewrite as .
Factor.
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Remove unnecessary parentheses.
Remove unnecessary parentheses.
Divide each term in by .
Cancel the common factor.
Divide by .
Divide by .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
Set the first factor equal to .
Subtract from both sides of the equation.
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
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.
Subtract from both sides of the equation.
Multiply each term in by
Multiply each term in by .
Multiply .
Multiply by .
Multiply by .
Simplify .
Simplify by multiplying through.
Apply the distributive property.
Simplify the expression.
Move to the left of .
Multiply by .
Rewrite as .
Next, use the negative value of the to find the second solution.
Subtract from both sides of the equation.
Multiply each term in by
Multiply each term in by .
Multiply .
Multiply by .
Multiply by .
Simplify .
Apply the distributive property.
Multiply .
Multiply by .
Multiply by .
Multiply by .
The complete solution is the result of both the positive and negative portions of the solution.
Set the next factor equal to and solve.
Set the next factor equal to .
Subtract from both sides of the equation.
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
Solve the equation for .
Raise to the power of .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Multiply each term in by
Multiply each term in by .
Multiply .
Multiply by .
Multiply by .
Multiply by .
Set the next factor equal to and solve.
Set the next factor equal to .
Add to both sides of the equation.
Raise each side of the equation to the power to eliminate the fractional exponent on the left side.
Solve the equation for .
Raise to the power of .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Multiply each term in by
Multiply each term in by .
Multiply .
Multiply by .
Multiply by .
Multiply by .
The final solution is all the values that make true.
Exclude the solutions that do not make true.
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