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Let m=6x+5m=6x+5m, equals, 6, x, plus, 5.



Which equation is equivalent to (6x+5)^2-10=-18x-15(6x+5)



2



−10=−18x−15left parenthesis, 6, x, plus, 5, right parenthesis, squared, minus, 10, equals, minus, 18, x, minus, 15 in terms of mmm ?

Respuesta :

We have been given that [tex]m=6x+5[/tex]. We are asked to rewrite the equation [tex](6x+5)^2-10=-18x-15[/tex] in terms of m.

First of all, we need manipulate right side of our given equation.

We will factor out -3 from right side of equation as:

[tex](6x+5)^2-10=-3(6x+5)[/tex]

Upon substituting [tex]m=6x+5[/tex] in our equation, we will get:

[tex](m)^2-10=-3(m)[/tex]

[tex]m^2-10=-3m[/tex]

Upon writing this equation in general form of equation, we will get:

[tex]m^2+3m-10=-3m+3m[/tex]

[tex]m^2+3m-10=0[/tex]

Therefore, the equation [tex]m^2+3m-10=0[/tex] is equivalent to our given equation.

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