could someone help me with math?

Question

Solve the following equation.


15x²=5+10x

 

x = ______ , _______

Answer 1

First, we want to isolate all of the terms to one side to set the equation equal to zero:

 

15x² = 5 + 10x

15x² - 10x - 5 = 0

 

Now, we can factor out the GCF:

 

5(3x² - 2x - 1) = 0

 

Factor the trinomial:

 

5(3x + 1)(x - 1) = 0

 

To find our zeroes, we set each factor equal to zero and solve:

 

3x + 1 = 0

3x = -1

x = -1/3

 

x - 1 = 0

x = 1

 

Our zeroes for this function are x = -1/3 and x = 1