Question

Let m = 6x + 5.

Answer 1

We have been given that $m=6x+5$. We are asked to write $(6x + 5)^2-10 =-18x-15$ in terms of m.

First of all, we will factor $-3$ from right side of equation as:

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

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

Now we will substitute $m=6x+5$ in our equation as:

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

$m^2-10 =-3m$

Upon adding $3m$ on both sides, 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 $(6x + 5)^2-10 =-18x-15$ in terms of m.