Question

ajude-me
4 (x+2)² = (2x -3)²

Answer 1

 
 
 

4 (x+2)² = (2x -3)² 
4(x² + 4x + 4 ) = 4x² - 12x + 9
4x² + 16x + 16 = 4x² - 12x + 9
4x² + 16x + 16 - 4x² + 12x - 9 = 0
   28x + 7 = 0
     28x = - 7
         x = - 7   ou x = - 1
                28               4

Answer 2

$4(x + 2)^2 = (2x - 3)^2 \\ \\ 4*( x^{2} + 4x + 4 ) = 4x^{2} -12x + 9 \\ \\ 4x^{2} + 16 x + 16 = 4x^{2} -12x + 9 \\ \\ 4x^{2} + 16 x + 16 -4x^{2} +12x - 9 = 0 \\ \\ 28x + 7 = 0 \\ \\ 28x = -7 \\ \\ x =- \frac{7}{28} => x = -\frac{1}{4}$