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Réponse :

Explications étape par étape

Bonjour

(6x + 1)x = (3x + 2)(6x + 1)

x(6x + 1) - (3x + 2)(6x + 1) = 0

(6x + 1)(x - 3x - 2) = 0

(6x + 1)(-2x - 2) = 0

(6x + 1) * (-2)(x + 1) = 0

-2(6x + 1)(x + 1) = 0

6x + 1 = 0 ou x + 1 = 0

6x = -1 ou x = -1

x = -1/6 ou x = -1

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

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

(2x - 1 - x - 2)(2x - 1 + x + 2) = 0

(x - 3)(3x + 1) = 0

x - 3 = 0 ou 3x + 1 = 0

x = 3 ou 3x = -1

x = 3 ou x = -1/3

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

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

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

(x^2 + 1) * x(3 - x) = 0

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

x^2 + 1 > 0

x = 0 ou 3 - x = 0

x = 0 ou x = 3