Question

Solve for X:

3= 10x^2 + 13x

(1 point)
Responses

-3, -1

2, 5

−32 , 15

32 , −15

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for x, we need to rearrange the equation to set it equal to zero.

10x^2 + 13x - 3 = 0

Now we can factor this quadratic equation. The factors of 10 that add up to 13 are 10 and 3.

10x^2 + 10x + 3x - 3 = 0
10x(x+1) + 3(x+1) = 0
(10x+3)(x+1) = 0

Setting each factor equal to zero:

10x + 3 = 0
10x = -3
x = -3/10
x = -0.3

x + 1 = 0
x = -1

So the solutions for x are:
x = -0.3 or -1

Therefore, the correct answer is -3, -1.