de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

(5x^2-12x-9)(4x+a)=0

Lösung

(5 x^{2} - 12 x - 9) (4 x + a) = 0

Lösung

x = - \frac{3}{5}, x = 3, x = - \frac{a}{4}

Schritte zur Lösung

(5 x^{2} - 12 x - 9) (4 x + a) = 0

Faktorisiere

(5 x^{2} - 12 x - 9) (4 x + a) : (5 x + 3) (x - 3) (4 x + a)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

5 x + 3 = 0 : x = - \frac{3}{5}

Löse

x - 3 = 0 : x = 3

Löse

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

Die Lösungen sind

x = - \frac{3}{5}, x = 3, x = - \frac{a}{4}

Graph

Beliebte Beispiele

48x^3-64x^2-3x+4=0

48 x^{3} - 64 x^{2} - 3 x + 4 = 0

(3x+2)(x+9)(x-2)=0

(3 x + 2) (x + 9) (x - 2) = 0

15x^4-75x^2+60=0

15 x^{4} - 75 x^{2} + 60 = 0

x^{3} - 6 x^{2} + 11 x = 6

(u^2-5u-6)(5u+25)=0

(u^{2} - 5 u - 6) (5 u + 25) = 0