could someone please help me understand math?

Question

Solve the following equation.


3,000=(1,100-100x)x

 

x= ________, ________

Answer 1

Distribute the x:

 

3,000 = (1,100 - 100x)x

3,000 = 1,100x - 100x²

 

Isolate all terms to one side to set the equation equal to zero:

 

100x² - 1,100x + 3,000 = 0

 

Factor out the GCF:

 

100(x² - 11x + 30) = 0

 

Factor the trinomial:

 

100(x - 5)(x - 6) = 0

 

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

 

x - 5 = 0

x = 5

 

x - 6 = 0

x = 6

 

Our zeroes are x = 5 and x = 6.