Question

(3m-4)(7n^2-3n-5)+(4-3m)(7n^2-3n-3)=8-6x

Answer 1

(3m-4)(7n^2-3n-5)+(4-3m)(7n^2-3n-3)=8-6x
(21mn²-9mn-15m-28n²+12n+20)+(28n²-12n-12-21mn²+9mn+9m) = 8-6x
21mn²-9mn-15m-28n²+12n+20+28n²-12n-12-21mn²+9mn+9m = 8-6x
-15m+20-12+9m-8=6x
-6m+20-20=6x
-6m=6x |:6
-m=x

Answer 2

Let's simplify the given expression step by step:

(3m - 4)(7n^2 - 3n - 5) + (4 - 3m)(7n^2 - 3n - 3) = 8 - 6x

Expanding the first term: = (3m)(7n^2 - 3n - 5) + (-4)(7n^2 - 3n - 5) + (4 - 3m)(7n^2 - 3n - 3) = 8 - 6x

Distributing the multiplication: = 21mn^2 - 9mn - 15m - 28n^2 + 12n + 20 + 28n^2 - 12n - 20 + 47n^2 - 43n - 43 - 3m7n^2 + 3m3n + 3m3 = 8 - 6x

Simplifying the expression: = 21mn^2 - 9mn - 15m - 28n^2 + 12n + 20 + 28n^2 - 12n - 20 + 28n^2 - 12n - 12 - 21mn^2 + 9mn + 9m = 8 - 6x

Combining like terms: = -15m + 9m + 9m + 21mn^2 - 21mn^2 + 28n^2 - 28n^2 + 28n^2 - 12n + 12n - 12n + 20 - 20 - 12 = 8 - 6x

Simplifying further: = 3m = 8 - 6x

Therefore, the simplified equation is: 3m = 8 - 6x