16y-9y3 = 0
y*(16-9y2) = 0
y*(4-3y)*(4+3y) = 0
So y = 0 or (4-3y) = 0 or (4+3y) = 0
ie y = 0 or y = 4/3 or y = -4/3
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2sinx+1 equals 0
For y - 2y - 3y equals 0, y equals 0.
many solutions
"x equals 0" is an equality, not an inequality. The question is, therefore, not consistent.
Suppose x3-4x = 0. To solve, factor: x3-4x = x(x2-4) = x(x+2)(x-2) = 0 Now, a product equals 0 if and only one or more of the factors equals 0, so set each factor to 0 and solve. The roots are 0,-2 and +2.