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Beliebt Algebra >

x(3x^2-2x-12x+8)=0

Lösung

x (3 x^{2} - 2 x - 12 x + 8) = 0

Lösung

x = 0, x = \frac{2}{3}, x = 4

+1

Dezimale

x = 0, x = 0.66666 \dots, x = 4

Schritte zur Lösung

x (3 x^{2} - 2 x - 12 x + 8) = 0

Faktorisiere

x (3 x^{2} - 2 x - 12 x + 8) : x (- 2 + 3 x) (x - 4)

x (- 2 + 3 x) (x - 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or - 2 + 3 x = 0 or x - 4 = 0

Löse

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

Löse

x - 4 = 0 : x = 4

Die Lösungen sind

x = 0, x = \frac{2}{3}, x = 4

Graph

Beliebte Beispiele

solvefor x,x^3+y^3+z^3=1

so l v e f or x, x^{3} + y^{3} + z^{3} = 1

2 x^{3} + 7 x^{2} - 4 x = 0

x^3+5x^2+8x+3=0

x^{3} + 5 x^{2} + 8 x + 3 = 0

solvefor x,9x^4+6y^3=8

so l v e f or x, 9 x^{4} + 6 y^{3} = 8

x^2(x-1)(2x+7)=0

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