Solve x² + 7x + 10 = 0 — x = -2 or x = -5

Problem

$x^2 + 7x + 10 = 0$

Step-by-step solution

Finde zwei Zahlen, deren Produkt $10$ und deren Summe $7$ ist.
Paar $(2, 5)$ : $2 \cdot 5 = 10$ ✓, $2 + 5 = 7$ ✓.
Faktorisiere: $(x + 2)(x + 5) = 0$ .
Löse: $x = -2$ oder $x = -5$ .

Answer

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

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Related worked examples

/solve/algebra/x2-plus-5x-plus-6