# Solve Using the Quadratic Formula (3-y)(y+4)=3y-5

Move all terms to the left side of the equation and simplify.
Simplify .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Multiply by by adding the exponents.
Move .
Multiply by .
Multiply by .
Subtract from .
Move all the expressions to the left side of the equation.
Subtract from both sides of the equation.
Add to both sides of the equation.
Simplify .
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.
Raise to the power of .
Multiply by .
Multiply by .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify .
Move the negative one from the denominator of .
Rewrite as .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve Using the Quadratic Formula (3-y)(y+4)=3y-5