If (x-2)(2x+5)=0 find the smaller value for x?

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(x-2)(2x+5)=0
x - 2 = 0 or 2x + 5 = 0
x = 2 or x = -5/2
The smaller of 2 and -5/2 is -5/2.
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  • Brad answered 2 years ago
    sinve you are multiplying the two brackets together to equal 0 then one of the two brackets must equal 0.
    You can seperate the equation into two halves: x-2=0 and 2x+5=0
    you then solve for both of them and whichever has a lesser value is your answer:
    x-2=0
    x-2+2=0+2
    x=2
    --------------
    2x+5=0
    2x+5-5=0-5
    2x=-5
    x=-5/2
    x=-2.5
    Since -2.5 is less than 2 the smaller value of x is -2.5

    Hope this helps. If you have any further questions feel free to email me :)

    Source(s):

    Professional Math Nerd :P
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  • Sam answered 2 years ago
    (x-2)(2x+5)=0
    2(x+5/2)(x-2)=0
    x1=2
    x2=-5/2
    x=-5/2 - the smaller value
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