Two weeks ago, star bought 3 cans of tennis balls. last week, she bought 4 cans of tennis balls. this week, she brought 2 cans of tennis balls. the tennis balls cost d dollars per can. write an expression in simplest form that represents the total amount that star spent.

For this case we have to:

d: Represents the cost in dollars for each can of tennis

Then we have according to the data that:

The above expression represents the total cost of the tennis cans that Star bought.

We simplify, adding the similar terms of the expression:

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

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step-by-step explanation: