# Solve by Factoring square root of 4x+2 = square root of 3x+4

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 .
Add to both sides of the equation.
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.
Apply the distributive property.
Multiply by .
Multiply by .
Simplify.
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.
Solve for .
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
Subtract from .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Solve by Factoring square root of 4x+2 = square root of 3x+4