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Beliebt Algebra >

-2(x+8)(25x^2-49)=0

Lösung

- 2 (x + 8) (25 x^{2} - 49) = 0

Lösung

x = - 8, x = - \frac{7}{5}, x = \frac{7}{5}

+1

Dezimale

x = - 8, x = - 1.4, x = 1.4

Schritte zur Lösung

- 2 (x + 8) (25 x^{2} - 49) = 0

Faktorisiere

- 2 (x + 8) (25 x^{2} - 49) : - 2 (x + 8) (5 x + 7) (5 x - 7)

- 2 (x + 8) (5 x + 7) (5 x - 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 8 = 0 or 5 x + 7 = 0 or 5 x - 7 = 0

Löse

x + 8 = 0 : x = - 8

Löse

5 x + 7 = 0 : x = - \frac{7}{5}

Löse

5 x - 7 = 0 : x = \frac{7}{5}

Die Lösungen sind

x = - 8, x = - \frac{7}{5}, x = \frac{7}{5}

Graph

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