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16-3|x|=4 equation

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Numerical solution:

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The solution

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16 - 3*|x| = 4
16−3∣x∣=416 - 3 \left|{x}\right| = 4
Simplify
Detail solution
For every modulo expressions in the equation
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.

1.
x≥0x \geq 0
or
0≤x∧x<∞0 \leq x \wedge x < \infty
we get the equation
12−3x=012 - 3 x = 0
after simplifying we get
12−3x=012 - 3 x = 0
the solution in this interval:
x1=4x_{1} = 4

2.
x<0x < 0
or
−∞<x∧x<0-\infty < x \wedge x < 0
we get the equation
12−3(−x)=012 - 3 \left(- x\right) = 0
after simplifying we get
3x+12=03 x + 12 = 0
the solution in this interval:
x2=−4x_{2} = -4


The final answer:
x1=4x_{1} = 4
x2=−4x_{2} = -4
The graph
05-20-15-10-5101520-5050
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = -4
x1=−4x_{1} = -4 
x2 = 4
x2=4x_{2} = 4 
x2 = 4
Sum and product of roots [src] 
sum
-4 + 4
−4+4-4 + 4 
=
0
00 
product
-4*4
−16- 16 
=
-16
−16-16 
-16
Numerical answer [src] 
x1 = -4.0
x2 = 4.0
x2 = 4.0
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