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solve equation by factoring 3m^2-8m=35

I need to show full work as well please help

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2 answers

  1. Bring the 35 to the Left hand side, then use the quadratic equation (if you cant find the factors in an easier way).
    You start it, I can fill in your blanks : )

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  2. 3m^2 - 8m - 35 = 0,
    A*C = 3*(-35) = -105 = 7 * (-15),
    Choose the set of factors whose sum = -8.
    3m^2 + (7m - 15m) - 35 = 0,
    (3m^2 + 7m) + (-15m - 35) = 0,
    m(3m + 7) - 5(3m + 7) = 0,
    (3m + 7)(m - 5) = 0,
    3m + 7 = 0, m = -7/3.
    m-5 = 0, m = 5.

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