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Beliebt Algebra >

15x^3+14x^2-8x=0

Lösung

15 x^{3} + 14 x^{2} - 8 x = 0

Lösung

x = 0, x = \frac{2}{5}, x = - \frac{4}{3}

+1

Dezimale

x = 0, x = 0.4, x = - 1.33333 \dots

Schritte zur Lösung

15 x^{3} + 14 x^{2} - 8 x = 0

Faktorisiere

15 x^{3} + 14 x^{2} - 8 x : x (5 x - 2) (3 x + 4)

x (5 x - 2) (3 x + 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 5 x - 2 = 0 or 3 x + 4 = 0

Löse

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

Löse

3 x + 4 = 0 : x = - \frac{4}{3}

Die Lösungen sind

x = 0, x = \frac{2}{5}, x = - \frac{4}{3}

Graph

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