Posted by **Nicole** on Wednesday, June 29, 2011 at 2:29pm.

How do I solve the following problems??

1. Factor: 4x^2-100y^2

2. Factor: 3x^2+27

3. Solve 3x^2+9x=0

4. Solve 12^2+30x=-12

5. 9a(a+1)=4

6. Solve 16x^2=25

- Algebra II -
**MathMate**, Wednesday, June 29, 2011 at 4:29pm
Hints:

1. Factor: 4x^2-100y^2

use difference of two squares,

(a²-b²)=(a+b)(a-b)

2. Factor: 3x^2+27

the common factor is 3.

3. Solve 3x^2+9x=0

factor and solve:

3x(x+3)=0

therefore

x=0 or x=?

4. Solve 12^2+30x=-12

Factor out the 6, and then factor completely to solve for x:

6(2x²+5x+2)=0

Hint: it's in the form

(2x 1)(x 2)

5. 9a(a+1)=4

Expand, transpose everything to the left, and then factor.

9a²+9a-4=0

6. Solve 16x^2=25

isolate variable:

x²=(25/16)=(5/4)²

and solve for x.

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