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7 December, 00:07

Solve (3x^2+2x+1) (x+3)

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Answers (2)
  1. 7 December, 00:19
    0
    x = - 3

    Step-by-step explanation:

    Solve for x over the real numbers:

    (x + 3) (3 x^2 + 2 x + 1) = 0

    Split into two equations:

    x + 3 = 0 or 3 x^2 + 2 x + 1 = 0

    Subtract 3 from both sides:

    x = - 3 or 3 x^2 + 2 x + 1 = 0

    Divide both sides by 3:

    x = - 3 or x^2 + (2 x) / 3 + 1/3 = 0

    Subtract 1/3 from both sides:

    x = - 3 or x^2 + (2 x) / 3 = - 1/3

    Add 1/9 to both sides:

    x = - 3 or x^2 + (2 x) / 3 + 1/9 = - 2/9

    Write the left hand side as a square:

    x = - 3 or (x + 1/3) ^2 = - 2/9

    (x + 1/3) ^2 = - 2/9 has no solution since for all x on the real line, (x + 1/3) ^2 >=0 and - 2/9<0:

    Answer: x = - 3
  2. 7 December, 00:21
    0
    (3x^2+2x+1) (x+3)

    = (3x^2) (x) (+3) (3) + (2x) (x) + (2x) + 3

    3x^3+9x^2+2x^2+6x+x+3

    3x^3+11x^2+7x+3
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