Solve using the Square Root Property 16=(x+3)(x-3)

Math
16=(x+3)(x-3)
Rewrite the equation as (x+3)(x-3)=16.
(x+3)(x-3)=16
Simplify (x+3)(x-3).
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Expand (x+3)(x-3) using the FOIL Method.
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Apply the distributive property.
x(x-3)+3(x-3)=16
Apply the distributive property.
x⋅x+x⋅-3+3(x-3)=16
Apply the distributive property.
x⋅x+x⋅-3+3x+3⋅-3=16
x⋅x+x⋅-3+3x+3⋅-3=16
Simplify terms.
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Combine the opposite terms in x⋅x+x⋅-3+3x+3⋅-3.
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Reorder the factors in the terms x⋅-3 and 3x.
x⋅x-3x+3x+3⋅-3=16
Add -3x and 3x.
x⋅x+0+3⋅-3=16
Add x⋅x and 0.
x⋅x+3⋅-3=16
x⋅x+3⋅-3=16
Simplify each term.
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Multiply x by x.
x2+3⋅-3=16
Multiply 3 by -3.
x2-9=16
x2-9=16
x2-9=16
x2-9=16
Move all terms not containing x to the right side of the equation.
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Add 9 to both sides of the equation.
x2=16+9
Add 16 and 9.
x2=25
x2=25
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±25
The complete solution is the result of both the positive and negative portions of the solution.
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Simplify the right side of the equation.
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Rewrite 25 as 52.
x=±52
Pull terms out from under the radical, assuming positive real numbers.
x=±5
x=±5
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the ± to find the first solution.
x=5
Next, use the negative value of the ± to find the second solution.
x=-5
The complete solution is the result of both the positive and negative portions of the solution.
x=5,-5
x=5,-5
x=5,-5
Solve using the Square Root Property 16=(x+3)(x-3)

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