Solve for y y^2-12y+35=0

Math
y2-12y+35=0
Factor y2-12y+35 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 35 and whose sum is -12.
-7,-5
Write the factored form using these integers.
(y-7)(y-5)=0
(y-7)(y-5)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
y-7=0
y-5=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
y-7=0
Add 7 to both sides of the equation.
y=7
y=7
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
y-5=0
Add 5 to both sides of the equation.
y=5
y=5
The final solution is all the values that make (y-7)(y-5)=0 true.
y=7,5
Solve for y y^2-12y+35=0

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