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28 November, 08:57

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

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Answers (2)
  1. 28 November, 09:16
    0
    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
  2. 28 November, 09:22
    0
    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
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