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Two factors that will give you -10X^2 when multiplied and 3x when added are
5x and -2x
[tex]\begin{gathered} 5x\times-2x=-10x^2 \\ \text{and} \\ 5x\text{ + (-2x) = 3X} \end{gathered}[/tex]X^2 + 5X -2X -10 =0
We equate the expression to zero to find the zeroes
factorizing we have
x(x+5) -2(x+5) = 0
(x+5) (x-2) = 0
x+5 = 0 ; x =-5
x-2 =0 ; x = 2
the zeroes are x = 2 and -5