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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = 3, x = - 0.5, x = 0.66666 \dots

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

Löse

2 x + 1 = 0 : x = - \frac{1}{2}

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

0 = 6 x^{4} - 8 x^{3} + 1

(x + 1)^{3} (x - 1) = 0

0=12x^3+12x^2-24x

0 = 12 x^{3} + 12 x^{2} - 24 x

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

a^{6} = 58 + (6 - 1) - 7