Question

What are the roots of the equation? x^2(5x−7)(3x+2)=0

Answer 1

x = 0, x = $\frac{7}{5}$, x = - $\frac{2}{3}$

since we have a product of factors equal to zero, equate each factor to zero and solve for x

x² = 0 ⇒ x = 0 ( multiplicity 2 )

5x - 7 = 0 ⇒ x = $\frac{7}{5}$

3x + 2 = 0 ⇒ x = - $\frac{2}{3}$

Answer 2

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