Solve for y y^2+10y-24=0

Math
y2+10y-24=0
Factor y2+10y-24 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 -24 and whose sum is 10.
-2,12
Write the factored form using these integers.
(y-2)(y+12)=0
(y-2)(y+12)=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-2=0
y+12=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
y-2=0
Add 2 to both sides of the equation.
y=2
y=2
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
y+12=0
Subtract 12 from both sides of the equation.
y=-12
y=-12
The final solution is all the values that make (y-2)(y+12)=0 true.
y=2,-12
Solve for y y^2+10y-24=0

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