Solve for y y^2-y=6

Math
y2-y=6
Move 6 to the left side of the equation by subtracting it from both sides.
y2-y-6=0
Factor y2-y-6 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 -6 and whose sum is -1.
-3,2
Write the factored form using these integers.
(y-3)(y+2)=0
(y-3)(y+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.
y-3=0
y+2=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
y-3=0
Add 3 to both sides of the equation.
y=3
y=3
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
y+2=0
Subtract 2 from both sides of the equation.
y=-2
y=-2
The final solution is all the values that make (y-3)(y+2)=0 true.
y=3,-2
Solve for y y^2-y=6

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