Question:

X^2-5x=36? i need help in trying to sove these equations?

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please show me how this is done

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  1. Rewrite so everything is on one side and zero is on the other side:

    x^2-5x-36 = 0

    Factor

    (x-9)(x+4) = 0

    For two number to multiply together and get a result of zero, this will only occur if one of those numbers is zero.

    If the first number is zero, then

    x-9 = 0

    x=9 (so the first number will be zero when x = 9)

    Or

    the second number could be zero

    x+4 = 0

    x = -4 (so the second number will be zero when x = -4)


  2. get = 0

    x^2 - 5x - 36 = 0

    Factor

    (x - 9)(x + 4) = 0

    Set each factor = 0 since if AB = 0, the A = 0 or B = 0

    x - 9 = 0 or x + 4 = 0

    solve

    x = 9 or x = -4

  3. Subtract 36 both sides

    x^2-5x-36=0

    Factor

    (x+4)(x-9)=0

    Now you can solve for x

    x+4=0 x-9=0

    x=-4 x=9

  4. x^2 - 5x - 36 = 0

    (x - 9)(x + 4) = 0

    x -9 = 0 ---------> change sign on -9, move to other side

    x = 9

    x + 4 = 0 -------> change sign on 4, move to other side

    x = -4

  5. x^2 - 5x - 36 = 0

    Factor: (x-9)(x+4)=0

    Solutions: x=9, -4

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