Solve the equation.
-b(b + 17)= 0
A)-1, -17
B)17, 0
C)-17, 0
D)1, -17

Question

Quizplus · Accepted Answer

The equation b(b + 17) = 0 has two factors: b and b + 17. For the equation to be true, at least one of these factors must be equal to 0. Therefore, the solutions are b=0 and b=-17 (since -17 + 17 = 0). Choice C (-17, 0) includes both solutions, while the other choices only include one of them. The equation can be simplified to b^2 + 17b = 0. This means that either b = 0 or b = -17, since these are the only values that make the equation true. Therefore, the answer is (C) -17 and 0.

Solve the Equation. -B(b + 17)= 0