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Beliebt Algebra >

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

Lösung

(x^{2} - 3 x) (2 x + 3) (x - 1) = 0

Lösung

x = 0, x = 3, x = 1, x = - \frac{3}{2}

+1

Dezimale

x = 0, x = 3, x = 1, x = - 1.5

Schritte zur Lösung

(x^{2} - 3 x) (2 x + 3) (x - 1) = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

Löse

x - 1 = 0 : x = 1

Löse

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

Die Lösungen sind

x = 0, x = 3, x = 1, x = - \frac{3}{2}

Graph

Beliebte Beispiele

2 x^{4} - x^{2} - 3 = 0

z^{4} = 121

solvefor x,x^5=a^3

so l v e f or x, x^{5} = a^{3}

x^3-6x^2+12x-6=0

x^{3} - 6 x^{2} + 12 x - 6 = 0

p^{4} - 5 p^{2} = - 4