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22 June, 01:20

Solve for m.

22m^2 + 7m - 2 = 0

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Answers (1)
  1. 22 June, 01:47
    0
    x = - 1/2 and x=2/11

    Step-by-step explanation:

    Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x

    Therefore, the equation would look like this: 22x^2 + 11x-4x - 2 = 0

    Look at it as if there are two equations: 22x^2+11x and - 4x-2

    Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x (2x+1)

    Take the GCF for the second equation as well (which is - 2). The equation should then also look like this: (2x+1)

    Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2

    Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:

    (11x-2) (2x+1)

    Solve each equation for x by equaling them both to zero
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