Question 390493
Add 9/4 to both sides of the equation:


{{{x^2 + 3x + 9/4 = 9/4}}} The left-hand side factors as {{{(x - 3/2)^2}}}, so


{{{(x - 3/2)^2 = 9/4}}}


{{{x - 3/2 = 0 +- 3/2}}}


x = 0 or x = -3