Solve x(x-2)(x+4)=0. List the solutions.

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Multiple Choice

Solve x(x-2)(x+4)=0. List the solutions.

Explanation:
When a product is zero, at least one factor must be zero. apply that to each factor in x(x−2)(x+4)=0: - x = 0 - x−2 = 0 gives x = 2 - x+4 = 0 gives x = −4 All three values make the product zero, so the complete solution set is { −4, 0, 2 }. Presenting them in ascending order commonly shows them as −4, 0, 2.

When a product is zero, at least one factor must be zero. apply that to each factor in x(x−2)(x+4)=0:

  • x = 0

  • x−2 = 0 gives x = 2

  • x+4 = 0 gives x = −4

All three values make the product zero, so the complete solution set is { −4, 0, 2 }. Presenting them in ascending order commonly shows them as −4, 0, 2.

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