84+(x+4)(x-3)(x+5)=(x+1)(x+2)(x+3)

Lösung

84 + (x + 4) (x - 3) (x + 5) = (x + 1) (x + 2) (x + 3)

x = 1

Schritte zur Lösung

84 + (x + 4) (x - 3) (x + 5) = (x + 1) (x + 2) (x + 3)

Multipliziere aus

(x + 1) (x + 2) : x^{2} + 3 x + 2

x^{3} + 6 x^{2} - 7 x + 24 = (x^{2} + 3 x + 2) (x + 3)

Multipliziere aus

(x^{2} + 3 x + 2) (x + 3) : x^{3} + 6 x^{2} + 11 x + 6

x^{3} + 6 x^{2} - 7 x + 24 = x^{3} + 6 x^{2} + 11 x + 6

Schreibe

84 + (x + 4) (x - 3) (x + 5)

um:

x^{3} + 6 x^{2} - 7 x + 24

x^{3} + 6 x^{2} - 7 x + 24 = x^{3} + 6 x^{2} + 11 x + 6

Verschiebe

24

auf die rechte Seite

x^{3} + 6 x^{2} - 7 x = x^{3} + 6 x^{2} + 11 x - 18

Subtrahiere

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

von beiden Seiten

x^{3} + 6 x^{2} - 7 x - (x^{3} + 6 x^{2} + 11 x) = x^{3} + 6 x^{2} + 11 x - 18 - (x^{3} + 6 x^{2} + 11 x)

Vereinfache

- 18 x = - 18

Teile beide Seiten durch

- 18

x = 1

2 a (m - n) + (m^{2} - m - n^{2} + n) \cdot d = 2 n - 2 m

\frac{3 - 4 x}{3} = \frac{3 - 2 x}{6}

80 \cdot 0.82 + 0.18 x = 75

16.5 - 8 = x - 2

so l v e f or x, (x - 3) 2 + (y - 1) 2 = 4