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samira showed her work for solving the equation 8m^2-16m=0 below. She got m=2 as her final answer. Did she solve the equation correctly or did she make any errors? Write a full explanation describing each step of her work and whether she did it correctly or incorrectly.

Respuesta :

[tex]8m^2-16m=0[/tex]

we can factorize m

[tex]m(8m-16)=0[/tex]

because we have and second-degree equation we will have two results for m

the first m=0

and the second m can be calculated with the next equation

[tex]8m-16=0[/tex][tex]8m=16[/tex]

[tex]m=\frac{16}{8}=2[/tex]

m=2

She made a mistake because we need two values to answer fully the equation

m=2 and m=0