To solve the equation 3x − x² = 0: Step 1: Factor out the common term x. x(3 − x) = 0 Step 2: Set each factor equal to zero and solve for x. x = 0 or 3 − x = 0; x = 0 or x = 3; The solutions to the equation 3x − x² = 0 are x = 0 or x = 3. 3 de faites, encore 2 aujourd'hui. Tu progresses.

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3x − x² = 0

October 28, 2026Mathematics

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Answer

x = 0 \text{ or } x = 3

Step-by-step solution

2 steps

To solve the equation $3x - x^2 = 0$ :

Factor out the common term $x$ .
$x(3 - x) = 0$
Set each factor equal to zero and solve for $x$ .
$x = 0 \quad \text{or} \quad 3 - x = 0$ $x = 0 \quad \text{or} \quad x = 3$
The solutions to the equation $3x - x^2 = 0$ are $\boxed{x = 0 \text{ or } x = 3}$ .

3 de faites, encore 2 aujourd'hui. Tu progresses.