0 times 3 is 0, since anything times 0 is 0.
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x2 + x - 6 = 0 x2 + 3x - 2x - 6 = 0 x(x+3) -2(x+3) = 0 so (x+3)(x-2) = 0 so x+3 = 0 or x-2 = 0 so that x = -3 or x = 2
5x2 + 15x = 0 5x(x + 3) = 0 therefore, x = 0 or x + 3 = 0 that is, x = 0 or x = -3
x + x2 = 6 So x2 + x - 6 = 0 x2 + 3x - 2x - 6 = 0 x(x + 3) - 2(x + 3) = 0 (x + 3)(x - 2) = 0 So x + 3 = 0 so that x = -3 or x - 2 = 0 so that x = 2
-4
5x2 + 2x - 3 = 0 5x2 + 5x - 3x - 3 = 0 5x(x + 1) - 3(x + 1) = 0 (5x - 3)(x + 1) = 0 So 5x - 3 = 0 or x + 1 = 0 ie x = 3/5 or x = -1