Solve |4 - 2x| = |3x+ 2|.

Step-by-step explanation:4 -2x=3x +2

4-2=3x+2x

2=5x

X=2/5

x=2/5, x=-6

Step-by-step explanation:

|4 - 2x| = |3x+ 2| =

4-2x=3x+2

-2x-3x=2-4

-5x=-2

x=-2/-5=2/5 possibility  1

−2x+4=−(3x+2)      possibility 2

−2x+4=−3x−2(Simplify both sides of the equation)

−2x+4+3x=−3x−2+3x

x+4=−2

x+4−4=−2−4(Subtract 4 from both sides)

x=−6

Check answers:

2/5(Works in original equation)

x=−6(Works in original equation)

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb