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Beliebt Algebra >

3(5x+2)(x^2-81)=0

Lösung

3 (5 x + 2) (x^{2} - 81) = 0

Lösung

x = - 9, x = 9, x = - \frac{2}{5}

+1

Dezimale

x = - 9, x = 9, x = - 0.4

Schritte zur Lösung

3 (5 x + 2) (x^{2} - 81) = 0

Faktorisiere

3 (5 x + 2) (x^{2} - 81) : 3 (x + 9) (x - 9) (5 x + 2)

3 (x + 9) (x - 9) (5 x + 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 9 = 0 or x - 9 = 0 or 5 x + 2 = 0

Löse

x + 9 = 0 : x = - 9

Löse

x - 9 = 0 : x = 9

Löse

5 x + 2 = 0 : x = - \frac{2}{5}

Die Lösungen sind

x = - 9, x = 9, x = - \frac{2}{5}

Graph

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