algebra problem.....?

1over4(7+3g)= negative g over 8.

show all the steps and explain what you did.

thanks(:

Comments

  • First reciprocate on both sides you get, 4(7+3g) = - 8/g

    Divide both sides by 4. Now you will get 7+3g = -2/g

    Now multiply both by g there by you get 7g + 3g^2 = -2

    Bring -2 to the left side. So 3g^2 + 7g + 2 = 0

    Factorising, 3g^2 + 6g + g + 2 = 0

    That is, 3g(g+2) + 1(g+2) = 0

    Or, (g+2)(3g+1) = 0

    Two options g+2 = 0 or 3g+1= 0.

    So solution set for g is {-2, -1/3}

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