# Solve by Factoring 6 square root of z-1=2 square root of 3z+93

Move to the left side of the equation by subtracting it from both sides.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify.
Apply the product rule to .
Simplify the numerator.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify.
Apply the distributive property.
Multiply by .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Raise to the power of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Solve for .
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Move to the left of .
Apply the distributive property.
Multiply by .
Subtract from .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Multiply both sides of the equation by .
Simplify both sides of the equation.
Simplify .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Add to both sides of the equation.
Solve by Factoring 6 square root of z-1=2 square root of 3z+93

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