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Beliebt Algebra >

12-{6x+[3x+(x-7)(x+7)]-(2x+3)^2}=-2x^2+5[(x+1)^2-3(x+6)]

Lösung

12 - {6 x + [3 x + (x - 7) (x + 7)] - (2 x + 3)^{2}} = - 2 x^{2} + 5 [(x + 1)^{2} - 3 (x + 6)]

Lösung

x = - \frac{155}{8}

+1

Dezimale

x = - 19.375

Schritte zur Lösung

12 - {6 x + [3 x + (x - 7) (x + 7)] - (2 x + 3)^{2}} = - 2 x^{2} + 5 [(x + 1)^{2} - 3 (x + 6)]

Entferne die Klammern:

(a) = a

12 - (6 x + 3 x + (x - 7) (x + 7) - (2 x + 3)^{2}) = - 2 x^{2} + 5 [(x + 1)^{2} - 3 (x + 6)]

Addiere gleiche Elemente:

6 x + 3 x = 9 x

12 - (9 x + (x - 7) (x + 7) - (2 x + 3)^{2}) = - 2 x^{2} + 5 [(x + 1)^{2} - 3 (x + 6)]

Schreibe

12 - (9 x + (x - 7) (x + 7) - (2 x + 3)^{2})

um:

3 x^{2} + 3 x + 70

Schreibe

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

um:

3 x^{2} - 5 x - 85

3 x^{2} + 3 x + 70 = 3 x^{2} - 5 x - 85

Verschiebe

70

auf die rechte Seite

3 x^{2} + 3 x = 3 x^{2} - 5 x - 155

Subtrahiere

3 x^{2} - 5 x

von beiden Seiten

3 x^{2} + 3 x - (3 x^{2} - 5 x) = 3 x^{2} - 5 x - 155 - (3 x^{2} - 5 x)

Vereinfache

8 x = - 155

Teile beide Seiten durch

8

x = - \frac{155}{8}

Graph

Beliebte Beispiele

solvefor x,4x+8y=20

so l v e f or x, 4 x + 8 y = 20

6 - x = 5 x + 30

(2/3+5/3)^2=(2/3)^2+(5/3)^2

(\frac{2}{3} + \frac{5}{3})^{2} = (\frac{2}{3})^{2} + (\frac{5}{3})^{2}

-7(-5k+10)+1=10+6k+8

- 7 (- 5 k + 10) + 1 = 10 + 6 k + 8

\frac{1}{5} x + 4 = 6 - 2 x