Question

How do I solve: 6+|-10x+4|=100

Answer 1

Input:
6+abs(-10 x+4) = 100
Step one:
Alternate form:
abs(4-10 x) = 94
Step two:
Alternate form assuming x is positive:
abs(2-5 x) = 47
Step three:
Alternate form assuming x is real:
sqrt((4-10 x)^2)+6 = 100
Final Solutions:
x = 49/5

Answer 2

6+|−10x+4|=100
|−10x+4|+6=100
Step 1: Add -6 to both sides.
|−10x+4|+6+−6=100+−6
|−10x+4|=94
Step 2: Solve Absolute Value.
|−10x+4|=94
We know either−10x+4=94or−10x+4=−94
−10x+4=94(Possibility 1)
−10x+4−4=94−4(Subtract 4 from both sides)
−10x=90
−10x
−10
=
90
−10
(Divide both sides by -10)
x=−9
−10x+4=−94(Possibility 2)
−10x+4−4=−94−4(Subtract 4 from both sides)
−10x=−98
−10x
−10
=
−98
−10
(Divide both sides by -10)
x=
49
5
Answer:
x=−9 or x=
49/5