Factor the following:

8x2+40x+50

2 (2 x + 5)^2

Step-by-step explanation:

Factor the following:

8 x^2 + 40 x + 50

Hint: | Factor out the greatest common divisor of the coefficients of 8 x^2 + 40 x + 50.

Factor 2 out of 8 x^2 + 40 x + 50:

2 (4 x^2 + 20 x + 25)

Hint: | Factor 4 x^2 + 20 x + 25 by finding factors of 4×25 whose sum is 20.

Factor the quadratic 4 x^2 + 20 x + 25. The coefficient of x^2 is 4 and the constant term is 25. The product of 4 and 25 is 100. The factors of 100 which sum to 20 are 10 and 10. So 4 x^2 + 20 x + 25 = 4 x^2 + 10 x + 10 x + 25 = 5 (2 x + 5) + 2 x (2 x + 5):

2 5 (2 x + 5) + 2 x (2 x + 5)

Hint: | Factor common terms from 5 (2 x + 5) + 2 x (2 x + 5).

Factor 2 x + 5 from 5 (2 x + 5) + 2 x (2 x + 5):

2 (2 x + 5) (2 x + 5)

Hint: | Combine products of like terms.

(2 x + 5) (2 x + 5) = (2 x + 5)^2:

 2 (2 x + 5)^2

angle q= 92 degree

step-by-step explanation:

the solution is in the picture

when a quadrilateral is inscribed in a circle, the opposite angles are supplement to each other. in other words, the sum of the 2 angle is 180 degree

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x