Question

solve the quadratic equation
(2x-3) (x+2) = x(x-4)​

Answer 1

Answer:

the answer is x=2 plz thank

Answer 2

Answer:

$(2x - 3)(x + 2) = x(x - 4) \\ 2 {x}^{2} + 4x - 3x - 6 = {x}^{2} - 4x \\ 2 {x}^{2} - {x}^{2} + 4x + 4x - 3x - 6 = 0 \\ {x}^{2} + 5x - 6 = 0$

${x}^{2} + 5x - 6 = 0 \\ {x}^{2} + 6x - x - 6 = 0 \\ x(x + 6) \: - 1(x + 6) = 0 \\ (x - 1)(x + 6) = 0 \\ x = 1 \: \: x = - 6$