4x^3+56x^2+132x=0

解答

4 x^{3} + 56 x^{2} + 132 x = 0

x = 0, x = - 3, x = - 11

求解步骤

4 x^{3} + 56 x^{2} + 132 x = 0

因式分解

4 x^{3} + 56 x^{2} + 132 x : 4 x (x + 3) (x + 11)

4 x (x + 3) (x + 11) = 0

使用零因数法则： If

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0 or x + 11 = 0

解

x + 3 = 0 : x = - 3

解

x + 11 = 0 : x = - 11

解为

x = 0, x = - 3, x = - 11

125 t^{10} - 3 t^{7} = 0

- 3 x^{3} + 40 x^{2} - 90 x + 150 = 0

x^{3} - 11 x^{2} - 16 x + 176 = 0

12 x^{3} + 24 x^{2} - 96 x = 0

(x^{2} + x + 6) (x^{2} + x - 4) = 144