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Beliebt Algebra >

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

Lösung

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

Lösung

x = - 1, x = \frac{3}{2}, x = - \frac{3}{2}

+1

Dezimale

x = - 1, x = 1.5, x = - 1.5

Schritte zur Lösung

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

Faktorisiere

(2 x - 3) (2 x^{2} + 5 x + 3) : (x + 1) (2 x - 3) (2 x + 3)

(x + 1) (2 x - 3) (2 x + 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or 2 x - 3 = 0 or 2 x + 3 = 0

Löse

x + 1 = 0 : x = - 1

Löse

2 x - 3 = 0 : x = \frac{3}{2}

Löse

2 x + 3 = 0 : x = - \frac{3}{2}

Die Lösungen sind

x = - 1, x = \frac{3}{2}, x = - \frac{3}{2}

Graph

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