Ask Question
9 September, 23:31

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

+4
Answers (2)
  1. 10 September, 01:17
    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)
  2. 10 September, 02:26
    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}
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Factor out the greatest common factor. 28 x squared plus 8 x ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers