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Beliebt Algebra >

2(x+6)(16x^2-25)=0

Lösung

2 (x + 6) (16 x^{2} - 25) = 0

Lösung

x = - 6, x = - \frac{5}{4}, x = \frac{5}{4}

+1

Dezimale

x = - 6, x = - 1.25, x = 1.25

Schritte zur Lösung

2 (x + 6) (16 x^{2} - 25) = 0

Faktorisiere

2 (x + 6) (16 x^{2} - 25) : 2 (x + 6) (4 x + 5) (4 x - 5)

2 (x + 6) (4 x + 5) (4 x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 6 = 0 or 4 x + 5 = 0 or 4 x - 5 = 0

Löse

x + 6 = 0 : x = - 6

Löse

4 x + 5 = 0 : x = - \frac{5}{4}

Löse

4 x - 5 = 0 : x = \frac{5}{4}

Die Lösungen sind

x = - 6, x = - \frac{5}{4}, x = \frac{5}{4}

Graph

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