Помогите! lg(x+1,5)= -lg x

$lg(x + 1.5) = - lgx \\ x + 1.5 \geqslant 0 \\ x \geqslant 0 \\$
Тогда :
$lg(x + 1.5) + lgx = 0. \\ { x}^{2} + 1.5x = {10}^{0} \\ {x}^{2} + 1.5x = 1 \\ {x}^{2} + 1.5x - 1 = 0. \\$
Далее:
$d = {1.5}^{2} - 4 \times 1 \times ( - 1) = 2.25 + 4 = 6.25 = {2.5}^{2} \\ x = \frac{ - 1.5 - 2.5}{2 \times 1} < 0 \\ x = \frac{ - 1.5 - 2.5}{2 \times 1} = 0.5$
ОТВЕТ:0.5.