Solve for y square root of y=2-y

Solve for y square root of y=2-y
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
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Simplify the left side of the equation.
Simplify the right side of the equation.
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Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Subtract from .
Solve for .
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Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Move all terms containing to the left side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Factor using the AC method.
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Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Set equal to and solve for .
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Set the factor equal to .
Add to both sides of the equation.
Set equal to and solve for .
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Set the factor equal to .
Add to both sides of the equation.
The solution is the result of and .
Exclude the solutions that do not make true.
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