Question

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 ?

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.