It is: 0 because 205 = 0
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6x^2+4x=0 Divide everything by two 3x^2+2x=0 factor out an x x(3x+2)=0 Zero Product Property states that you can break apart the product when it is equal to zero because for this to occur either one or both of the factors must equal 0. x=0 or 3x+2=0 3x=-2 x=-2/3
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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.
A quadratic equation has the form: x^2 - (sum of the roots)x + product of the roots = 0 or, x^2 - (r1 + r2)x + (r1)(r2) = 0