# Write as a Function of y -3x^2+4y=4x+5y

Subtract from both sides of the equation.
Move all terms to the left side of the equation and simplify.
Move to the left side of the equation by subtracting it from both sides.
Subtract from .
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
Simplify the numerator.
Factor out of .
Factor out of .
Factor out of .
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify .
Move the negative in front of the fraction.
Simplify the expression to solve for the portion of the .
Simplify the numerator.
Factor out of .
Factor out of .
Factor out of .
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify .
Move the negative in front of the fraction.
Change the to .
Simplify the expression to solve for the portion of the .
Simplify the numerator.
Factor out of .
Factor out of .
Factor out of .
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .