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12 December, 09:22

Factor out the greatest common factor. 28 x squared plus 8 x

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Answers (2)
  1. 12 December, 09:24
    0
    Simplifying

    28x^2 + 8x = 0

    Reorder the terms:

    8x + 28x^2 = 0

    Solving

    8x + 28x^2 = 0

    Solving for variable 'x'.

    Factor out the Greatest Common Factor (GCF), '4x'.

    4x (2 + 7x) = 0

    Ignore the factor 4.

    Subproblem 1

    Set the factor 'x' equal to zero and attempt to solve:

    Simplifying

    x = 0

    Solving

    x = 0

    Move all terms containing x to the left, all other terms to the right.

    Simplifying

    x = 0

    Subproblem 2

    Set the factor ' (2 + 7x) ' equal to zero and attempt to solve:

    Simplifying

    2 + 7x = 0

    Solving

    2 + 7x = 0

    Move all terms containing x to the left, all other terms to the right.

    Add '-2' to each side of the equation.

    2 + - 2 + 7x = 0 + - 2

    Combine like terms: 2 + - 2 = 0

    0 + 7x = 0 + - 2

    7x = 0 + - 2

    Combine like terms: 0 + - 2 = - 2

    7x = - 2

    Divide each side by '7'.

    x = - 0.2857142857

    Simplifying

    x = - 0.2857142857

    Solution

    x = {0, - 0.2857142857}
  2. 12 December, 09:35
    0
    4x (7x + 2)

    Step-by-step explanation:

    28x^2 + 8x =

    = 2 * 2 * 7 * x * x + 2 * 2 * 2 * x

    The common factors are shown above in bold. They are 2, 2, x.

    2 * 2 * x = 4x. The greatest common factor is 4x. You factor 4x out of both terms.

    = 4x (7x + 2)
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