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How Many Solutions Does The Following Equation Have? |4x + 12| = 0 ?

The equation |4x + 12| = 0 has a unique solution, x = -4.

We can verify this by substituting the value of x into the original equation:

|4(-4) + 12| = 0 => |-16| = 0 => |-16|/4 = 0 => -16/4 = 0 => -16/4 is a real number and it equals zero.

This means that we have found one solution to our equation, but it doesn’t necessarily mean that there are no other solutions.

If we look at the graph of our function, we can see that there are two more possible points on this graph where the function could intersect with the x-axis: (-2, 4) and (2, -8).

OR

The equation has one solution, which is 4x = -12.

The general form of the equation is:

|4x + 12| = 0

We know that 4x = -12 when x = -3.

Therefore, the equation has one solution, which is 4x = -12 when x = -3

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Last modified: September 11, 2022

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