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1 December, 19:29

Solve the equation 12a3 + 12a2 = - 3a. Show all work.

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  1. 1 December, 19:40
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    12a³ + 12a² = - 3a | + 3a

    12a³ + 12a² + 3a = 0

    3a (4a² + 4a + 1) = 0

    3a (2a + 1) ² = 0

    3a = 0 or (2a + 1) ² = 0

    1) 3a = 0 | : 3

    a = 0

    2) (2a + 1) ² = 0

    2a + 1 = 0 | - 1

    2a = - 1 | : 2

    a = - 1/2

    a ∈ {-1/2, 0}

    Used formula:

    (a + b) ² = a² + 2ab + b²
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