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What are the solutions of the following equation? 2|4x + 5| = 0

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What are the solutions of the following equation?
2|4x + 5| = 0
Choose 1 answer:
A
x = -4/5 or x = 5/4
B
Only x = -5/4
C
Only x = -4/5
D
There are no solutions.




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1 Answer

  1. To solve the equation ( 2|4x + 5| = 0 ), we start by isolating the absolute value:

    1. Divide both sides by 2:

    [

    |4x + 5| = 0

    ]

    2. The absolute value is equal to zero only when the expression inside is zero:

    [

    4x + 5 = 0

    ]

    3. Solve for ( x ):

    [

    4x = -5

    ]

    [

    x = -frac{5}{4}

    ]

    Thus, the only solution is ( x = -frac{5}{4} ).

    The correct answer is B: Only ( x = -5/4 ).

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