Solve x² + x - 6 = 0

Problem

$x^2 + x - 6 = 0$

Step-by-step solution

Find two numbers multiplying to $-6$ and adding to $1$ .
Pair $(3, -2)$ : $3 \cdot (-2) = -6$ ✓, $3 + (-2) = 1$ ✓.
Factor: $(x + 3)(x - 2) = 0$ .
Set each factor to zero: $x = -3$ or $x = 2$ .

Answer

$x = -3 \quad \text{or} \quad x = 2$

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