# Solve Using the Quadratic Formula 4/9x^2-4/3x=-1

Move all terms to the left side of the equation and simplify.
Simplify each term.
Combine and .
Combine and .
Move to the left of .
Add to both sides of the equation.
Multiply through by the least common denominator , then simplify.
Apply the distributive property.
Simplify.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Multiply by .
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 .
Subtract from .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Multiply by .
Simplify .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
The final answer is the combination of both solutions.
Double roots
Solve Using the Quadratic Formula 4/9x^2-4/3x=-1