SOLUTION: 2y2-2y +37=(y-5)2 Solve for y

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Question 335160: 2y2-2y +37=(y-5)2
Solve for y
Answer by benazir.sj@gmail.com(109) About Me  (Show Source):
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2y^2-2y +37=(y-5)^2
solution:
(y-5)^2 = y^2 -10y+25
2y^2 -2y +37 = y^2 -10y +25
simplify
2y^2-y^2 -2y +10y +37-25 =0
y^2+8y +12=0
now factor this equation
y^2+8y+12 =0
y^2 +6y+2y+12 =0
y(y+6) +2(y+6) =0
(y+2)(y+6) =0
y+2=0 or y+6 =0
y=-2 or y=-6
therefore the value of y is
y= -2 or -6