Solve Using the Square Root Property x(x-6)+8=0

Math
x(x-6)+8=0
Simplify each term.
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Apply the distributive property.
x⋅x+x⋅-6+8=0
Multiply x by x.
x2+x⋅-6+8=0
Move -6 to the left of x.
x2-6x+8=0
x2-6x+8=0
Factor x2-6x+8 using the AC method.
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Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 8 and whose sum is -6.
-4,-2
Write the factored form using these integers.
(x-4)(x-2)=0
(x-4)(x-2)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x-4=0
x-2=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
x-4=0
Add 4 to both sides of the equation.
x=4
x=4
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
x-2=0
Add 2 to both sides of the equation.
x=2
x=2
The final solution is all the values that make (x-4)(x-2)=0 true.
x=4,2
Solve Using the Square Root Property x(x-6)+8=0

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