de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

(7x+1)(5x^3-10x^2)=0

Lösung

(7 x + 1) (5 x^{3} - 10 x^{2}) = 0

Lösung

x = 0, x = 2, x = - \frac{1}{7}

+1

Dezimale

x = 0, x = 2, x = - 0.14285 \dots

Schritte zur Lösung

(7 x + 1) (5 x^{3} - 10 x^{2}) = 0

Faktorisiere

(7 x + 1) (5 x^{3} - 10 x^{2}) : 5 x^{2} (x - 2) (7 x + 1)

5 x^{2} (x - 2) (7 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x - 2 = 0 or 7 x + 1 = 0

Löse

x - 2 = 0 : x = 2

Löse

7 x + 1 = 0 : x = - \frac{1}{7}

Die Lösungen sind

x = 0, x = 2, x = - \frac{1}{7}

Graph

Beliebte Beispiele

(x^2-5x)(x-36)=0

(x^{2} - 5 x) (x - 36) = 0

(2x^3)x^8=2x(3x^8)

(2 x^{3}) x^{8} = 2 x (3 x^{8})

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

x^{4} + 2 x^{2} - 12 = 0

x^{7} + 3 x + 3 = 0