Question

Pls help me thank you <3

Solving by GCF
1)7x^2+2x=0
Solution(s) are is:
2)5b^2-10b=0
Solution(s) are is:
3)3d^2-d=0
Solution(s) are is:
4)17x^2+51x=0
Solution(s) are is:

Answer 1

1. 9x³

2.5b³

3.2d

4. 68x³

Answer 2

9514 1404 393

Answer:

1. 0, -2/7
2. 0, 2
3. 0, 1/3
4. 0, -3

Explanation:

Factoring out the greatest common factor in each case, we can simplify the process of finding the non-zero solution. The solutions are the values of the variable that make the factors be zero.

1) 7x^2 +2x = 0 = (x)(7x +2) ⇒ x = 0; x = -2/7

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2) 5b^2 -10b = 0 = (5b)(b -2) ⇒ b = 0; b = 2

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3) 3d^2 -d = 0 = d(3d -1) ⇒ d = 0; d = 1/3

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4) 17x^2 +51x = 0 = 17x(x +3) ⇒ x = 0; x = -3