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2x^2+3x-2=0
Factoras:
(2x-1)(x+2)
2x=1
x1=1/2
x2=-2
Verificación
Con x1:
2(1/2)^2+3(1/2)-2=0
2(1/4)+(3/2)-2=0
2/4+3/2-2=0
1/2+3/2=2
4/2=2
2=2
Con x2:
2(-2)^2+3(-2)-2=0
2(4)-6-2=0
8-6-2=0
8-8=0
0=0