# Solve Using the Quadratic Formula 2(x-3)^2=-2x+9 Move all terms to the left side of the equation and simplify.
Move all the expressions to the left side of the equation.
Add to both sides of the equation.
Subtract from both sides of the equation.
Simplify .
Simplify each term.
Rewrite as .
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 .
Move to the left of .
Multiply by .
Subtract from .
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
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 .
Subtract from .
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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