Slove each equation below. show all work and steps.0.75x-0.5=x+1.5

       ➣ Assignment:

↔↔↔↔↔↔↔↔

       ➣

↔↔↔↔↔↔↔↔

Explanation: ↓↓↓↓↓

↔↔↔↔↔↔↔↔

       ➤ [ Step One ] Multiply Both Sides By 100

       ➤ [ Step Two ] Refine

       ➤ [ Step Three ] Add 50 To Both Sides

       ➤ [ Step Four ] Simplify

       ➤ [ Step Five ] Subtract 100x From Both Sides

       ➤ [ Step Six ] Simplify

       ➤ [ Step Seven ] Divide Both Sides By -25

       ➤  [ Step Eight ] Simplify

↔↔↔↔↔↔↔↔

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