Solve for x
x=-4
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\frac{1}{2}|x|-2=0
Variable x cannot be equal to any of the values -5,4 since division by zero is not defined. Multiply both sides of the equation by \left(x-4\right)\left(x+5\right).
\frac{1}{2}|x|=2
Add 2 to both sides of the equation.
|x|=4
Multiply both sides by 2.
x=4 x=-4
Use the definition of absolute value.
x=-4
Variable x cannot be equal to 4.
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