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Solve x2 + 5x = 0.Step 1. Factor x2 + 5x as the product of two linear expressions.

Answer :

[tex]x^2+5x=0[/tex]

Taking common factor x:

[tex]x(x+5)=0[/tex]

Equal each factor to zero, and solve for x:

[tex]x=0[/tex][tex]\begin{gathered} x+5=0 \\ x=-5 \end{gathered}[/tex]

So, the solution is:

[tex]\begin{gathered} x_1=0 \\ x_2=-5 \end{gathered}[/tex]

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