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人気のある代数 >

-x(3x+2)^2=-(x-1)(3x+2)

解

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

解

x = - \frac{2}{3}, x = - \frac{1}{6} + i \frac{11}{6}, x = - \frac{1}{6} - i \frac{11}{6}

解答ステップ

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

(x - 1) (3 x + 2)

を左側に移動します

- x (3 x + 2)^{2} + (x - 1) (3 x + 2) = 0

因数

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

- (3 x + 2) (3 x^{2} + x + 1) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

3 x + 2 = 0 or 3 x^{2} + x + 1 = 0

解く

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

解く

3 x^{2} + x + 1 = 0 : x = - \frac{1}{6} + i \frac{11}{6}, x = - \frac{1}{6} - i \frac{11}{6}

解答は

x = - \frac{2}{3}, x = - \frac{1}{6} + i \frac{11}{6}, x = - \frac{1}{6} - i \frac{11}{6}

グラフ

人気の例

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

(x - 3) (x^{2} - 4 x + 4) = 0

x^{3} + 5 x - 7 = 0

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x^2(x+1)+4(x+1)=0

x^{2} (x + 1) + 4 (x + 1) = 0

2 x^{3} + 46 = 100