#1**+1 **

Solve for x:

3 x^2 + 5 x = 0

Divide both sides by 3:

x^2 + (5 x)/3 = 0

Add 25/36 to both sides:

x^2 + (5 x)/3 + 25/36 = 25/36

Write the left hand side as a square:

(x + 5/6)^2 = 25/36

Take the square root of both sides:

x + 5/6 = 5/6 or x + 5/6 = -5/6

Subtract 5/6 from both sides:

x = 0 or x + 5/6 = -5/6

Subtract 5/6 from both sides:

**Answer: | x = 0 or x = -5/3**

Guest Jul 24, 2017