Question

What are the solutions to this equation?

2x^2=-10x +12

a) x=-3
b) x=1
c)x=-6
d) x=6
e)x= 6
f)x=-2

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Answer 1

2x^2=-10x +12

2x²+10x-12=0

2(x²+5x-6)=0

x²+6x-x-6=0/2

x(x+6)-1(x+6)=0

(x+6)(x-1)=0

either

x=-6

x=1