Question

4[24-3(7x+6)]-6(4-14x)

Answer 1

Answer:

0

Step-by-step explanation:

4[24-3(7x+6)]-6(4-14x)

4(24-21x-18)-24+84x

96-84x-72-24+84x

96-72-24-84x+84x

0 + 0

0

Answer 2

Answer:

0 = 0

The equation is an identity, all real numbers are solutions.

Step-by-step explanation:

First we simplify:

4[24 + -3(7x + 6)] + -6(4 + -14x) = 0

Then we need to reorder the terms:

=> 4[24 + -3(6 + 7x)] + -6(4 + -14x) = 0

=> 4[24 + (6 * -3 + 7x * -3)] + -6(4 + -14x) = 0

=> 4[24 + (-18 + -21x)] + -6(4 + -14x) = 0

We the have to combine like terms:

24 + -18 = 6

=> 4[6 + -21x] + -6(4 + -14x) = 0

=> [6 * 4 + -21x * 4] + -6(4 + -14x) = 0

=> [24 + -84x] + -6(4 + -14x) = 0

=> 24 + -84x + (4 * -6 + -14x * -6) = 0

=> 24 + -84x + (-24 + 84x) = 0

Reorder the terms again:

24 + -24 + -84x + 84x = 0

Combine like terms again:

24 + -24 = 0

=> 0 + -84x + 84x = 0

=> -84x + 84x = 0

Then once again, combine like terms:

-84x + 84x = 0

=> 0 = 0