Question

)(2x−5)(x−4)−7 =(x−2)(x−3)

Answer 1

(2x - 5) × (x - 4) - 7 = (x - 2) × (x - 3)

$\\ 2x {}^{2} - 8x - 5x + 20 - 7 = (x - 2) \times (x - 3)$

$2x {}^{2} - 8x - 5x + 20 - 7 = x {}^{2} - 3x - 2x + 6$

$2x {}^{2} - 13x + 20 - 7 = x {}^{2} - 3x - 2x + 6$

$2x {}^{2} - 13x + 13 = x {}^{2} - 3x - 2x + 6$

$2x {}^{2} - 13x + 13 = x {}^{2} - 5x + 6$

$2x {}^{2} - 13x + 13 - x {}^{2} + 5x - 6 = 0$

$x {}^{2} - 13x + 13 + 5x - 6 = 0$

$x {}^{2} - 8x + 13 - 6 = 0$

$x {}^{2} - 8x + 7 = 0$

$x {}^{2} - x - 7x + 7 = 0$

$x \times (x - 1) - 7x + 7 = 0$

$x \times (x - 1) - 7(x - 1) = 0$

$(x - 1) \times (x - 7) = 0$

$x - 1 = 0 \\ x - 7 = 0$

$x = 1 \\ x = 7$

Resposta ⬇️

$= > x_{1} = 1 \\ = > x_{2} = 7$

$Espero \: ter \: ajudado$