Translate the following verbal statement into an algebraic equation and then solve: Mariah bought a bookcase on sale for $340, which was two-fifths of the original price. What was the
original price of the bookcase?

x times 0.4 = 340

x = 850

Step-by-step explanation:

340 / 0.4 = 850

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

true

step-by-step explanation: