Question

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

Answer 1

We have been given that $m=6x+5$. We are asked to rewrite the equation $(6x+5)^2-10=-18x-15$ 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:

$(6x+5)^2-10=-3(6x+5)$

Upon substituting $m=6x+5$ in our equation, we will get:

$(m)^2-10=-3(m)$

$m^2-10=-3m$

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

$m^2+3m-10=-3m+3m$

$m^2+3m-10=0$

Therefore, the equation $m^2+3m-10=0$ is equivalent to our given equation.