A. x=1/3
B. x=-4/3
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Solve for x over the real numbers: using the factor method:
9 x^2 + 9 x - 4 = 0
The left hand side factors into a product with two terms:
(3 x - 1) (3 x + 4) = 0
Split into two equations:
3 x - 1 = 0 or 3 x + 4 = 0
Add 1 to both sides:
3 x = 1 or 3 x + 4 = 0
Divide both sides by 3:
x = 1/3 or 3 x + 4 = 0
Subtract 4 from both sides:
x = 1/3 or 3 x = -4
Divide both sides by 3:
Answer: x = 1/3 or x = -4/3
