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Beliebt Algebra >

25x^2(x+3)-9(x+3)=0

Lösung

25 x^{2} (x + 3) - 9 (x + 3) = 0

Lösung

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

+1

Dezimale

x = - 3, x = - 0.6, x = 0.6

Schritte zur Lösung

25 x^{2} (x + 3) - 9 (x + 3) = 0

Faktorisiere

25 x^{2} (x + 3) - 9 (x + 3) : (x + 3) (5 x + 3) (5 x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 3 = 0 : x = - 3

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

y = (y^{2})^{2}

x (x + 2) (x + 4) = 4

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

x^3+7x^2+25x+175=0

x^{3} + 7 x^{2} + 25 x + 175 = 0

x(x-8)(x-4)^2=225

x (x - 8) (x - 4)^{2} = 225