# Solve for y 45=(y+6)(y-6) 45=(y+6)(y-6)
Rewrite the equation as (y+6)(y-6)=45.
(y+6)(y-6)=45
Simplify (y+6)(y-6).
Expand (y+6)(y-6) using the FOIL Method.
Apply the distributive property.
y(y-6)+6(y-6)=45
Apply the distributive property.
y⋅y+y⋅-6+6(y-6)=45
Apply the distributive property.
y⋅y+y⋅-6+6y+6⋅-6=45
y⋅y+y⋅-6+6y+6⋅-6=45
Simplify terms.
Combine the opposite terms in y⋅y+y⋅-6+6y+6⋅-6.
Reorder the factors in the terms y⋅-6 and 6y.
y⋅y-6y+6y+6⋅-6=45
Add -6y and 6y.
y⋅y+0+6⋅-6=45
Add y⋅y and 0.
y⋅y+6⋅-6=45
y⋅y+6⋅-6=45
Simplify each term.
Multiply y by y.
y2+6⋅-6=45
Multiply 6 by -6.
y2-36=45
y2-36=45
y2-36=45
y2-36=45
Move all terms not containing y to the right side of the equation.
Add 36 to both sides of the equation.
y2=45+36
Add 45 and 36.
y2=81
y2=81
Take the square root of both sides of the equation to eliminate the exponent on the left side.
y=±81
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 81 as 92.
y=±92
Pull terms out from under the radical, assuming positive real numbers.
y=±9
y=±9
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
y=9
Next, use the negative value of the ± to find the second solution.
y=-9
The complete solution is the result of both the positive and negative portions of the solution.
y=9,-9
y=9,-9
y=9,-9
Solve for y 45=(y+6)(y-6)

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