Solve for x: x^2 + 4x = 0.

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Multiple Choice

Solve for x: x^2 + 4x = 0.

Explanation:
Solving by factoring and the zero product property. Factor x^2 + 4x as x(x + 4) = 0. A product is zero when a factor is zero, so x = 0 or x + 4 = 0, giving x = 0 or x = -4. Both values satisfy the original equation (0^2 + 4·0 = 0; (-4)^2 + 4(-4) = 16 - 16 = 0). Therefore, the solutions are x = 0 or x = -4.

Solving by factoring and the zero product property. Factor x^2 + 4x as x(x + 4) = 0. A product is zero when a factor is zero, so x = 0 or x + 4 = 0, giving x = 0 or x = -4. Both values satisfy the original equation (0^2 + 4·0 = 0; (-4)^2 + 4(-4) = 16 - 16 = 0). Therefore, the solutions are x = 0 or x = -4.

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