3x2 + 2x + 2 = 0
Can not be factored. You can however solve it for x:
3x2 + 2x = -2
x2 + 2x/3 = -2/3
x2 + 2x/3 + 1/9 = -2/3 + 1/9
(x + 1/9)2 = -5/9
x + 1/9 = ±√(-5/9)
x = -1/9 ± i√(5/9)
x = -1/9 ± i√5 / 3
x = -1/9 ± 3i√5 / 9
x = (-1 ± 3i√5) / 9
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3x2+2x-8=0 Delta = 22-4*3*-8= 100 So x = (-2 + sqrt(100))/(2*3) or x = (-2 - sqrt(100))/(2*3) x = 4/3 or x=-2
Assuming that 4x2+2x = 0: 2x (2x+1) = 0 2x = 0 or 2x+1 = 0 x = 0 or -1/2
3x2 - 19x - 14 = 0 3x2 - 21x + 2x - 14 = 0 3x(x - 7) + 2(x - 7) = 0 (x - 7)(3x + 2) = 0 x - 7 = 0 or 3x + 2 = 0 x = 7 or x = -2/3
3x2-4x-15 = 0 (3x+5)(x-3) = 0 x = -5/3 or x = 3
2x = -7 - 8y