Question

Solve for x. Write the smaller solution first, and the larger solution second.

f(x)=(x-5)(5x+2)
bigX-
SmallX-

Answer 1

x = -2/5 or 5

Explanation:

We assume you want the values of x that make f(x) = 0. These are found using the zero product rule. That tells you a product is zero if and only if at least one factor is zero.

x -5 = 0 . . . . .assume the first factor is zero

x = 5 . . . . . . . add 5

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5x +2 = 0 . . . assume the second factor is zero

5x = -2 . . . . . subtract 2

x = -2/5 . . . . divide by 5

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smaller solution: x = -2/5

larger solution: x = 5