Question

Qual o Valor de X aqui ? (x-5)*(x-2) = (x-4)*(x+3)

Answer 1

x^2-2x-5x+10 = x^2+3x-4x-12
x^2-7x+10 = x^2-x-12
x^2-x^2-7x+x= -12-10
-6x= -22 (.-1)
6x = 22
x = 22/6 (simplificando por 2)
x = 11/3

Answer 2

(x-5).(x-2) = (x-4).(x+3)
x² - 2x - 5x + 10 = x² + 3x - 4x - 12
x² - 7x + 10 = x² -x - 12
x² - x² - 7x + x + 10 + 12 = 0
-6x + 22 = 0 
-6x = -22
x = 22/6
x = 11/3