Solve x² + 3x - 10 = 0

Problem

$x^2 + 3x - 10 = 0$

Step-by-step solution

Find two numbers multiplying to $-10$ and adding to $3$ .
Pair $(5, -2)$ : $5 \cdot (-2) = -10$ ✓, $5 + (-2) = 3$ ✓.
Factor: $(x + 5)(x - 2) = 0$ .
Set each factor to zero: $x = -5$ or $x = 2$ .

Answer

$x = -5 \quad \text{or} \quad x = 2$

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