Find the solutions to the equation below check all that apply 9x^2+9x-4=0 a. x=1/3 b. x=-4/3 c. x=-1/3 d. x=1/2 e. x=4 f. x=-2

A. x=1/3

B. x=-4/3

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:

 x = 1/3 or x = -4/3

2500

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