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Beliebt Algebra >

(x+2)(x+3)(x-1)=(x+4)(x+4)(x-4)-27

Lösung

(x + 2) (x + 3) (x - 1) = (x + 4) (x + 4) (x - 4) - 27

Lösung

x = - 5

Schritte zur Lösung

(x + 2) (x + 3) (x - 1) = (x + 4) (x + 4) (x - 4) - 27

Vereinfache

(x + 4) (x + 4) (x - 4) - 27 : (x + 4)^{2} (x - 4) - 27

(x + 2) (x + 3) (x - 1) = (x + 4)^{2} (x - 4) - 27

Multipliziere aus

(x + 2) (x + 3) : x^{2} + 5 x + 6

(x^{2} + 5 x + 6) (x - 1) = (x + 4)^{2} (x - 4) - 27

Multipliziere aus

(x^{2} + 5 x + 6) (x - 1) : x^{3} + 4 x^{2} + x - 6

x^{3} + 4 x^{2} + x - 6 = (x + 4)^{2} (x - 4) - 27

Schreibe

(x + 4)^{2} (x - 4) - 27

um:

x^{3} + 4 x^{2} - 16 x - 91

x^{3} + 4 x^{2} + x - 6 = x^{3} + 4 x^{2} - 16 x - 91

Verschiebe

6

auf die rechte Seite

x^{3} + 4 x^{2} + x = x^{3} + 4 x^{2} - 16 x - 85

Subtrahiere

x^{3} + 4 x^{2} - 16 x

von beiden Seiten

x^{3} + 4 x^{2} + x - (x^{3} + 4 x^{2} - 16 x) = x^{3} + 4 x^{2} - 16 x - 85 - (x^{3} + 4 x^{2} - 16 x)

Vereinfache

17 x = - 85

Teile beide Seiten durch

17

x = - 5

Graph

Beliebte Beispiele

0.32 x = 3

415+(164-x)=501

415 + (164 - x) = 501

solvefor x,-3x-9y=0

so l v e f or x, - 3 x - 9 y = 0

solvefor x,x+10y+27=y+10x

so l v e f or x, x + 10 y + 27 = y + 10 x

solvefor x,15x+17y=241

so l v e f or x, 15 x + 17 y = 241