-5(1 – 5x)+5(-8x - 2) = - 4x – 8x
The answers are
X=-5
X=5
No solution
All real answers

x = -5

Step-by-step explanation:

Solve for x:

5 (-8 x - 2) - 5 (1 - 5 x) = -4 x - 8 x

-5 (1 - 5 x) = 25 x - 5:

25 x - 5 + 5 (-8 x - 2) = -4 x - 8 x

5 (-8 x - 2) = -40 x - 10:

25 x + -40 x - 10 - 5 = -4 x - 8 x

Grouping like terms, 25 x - 40 x - 10 - 5 = (25 x - 40 x) + (-5 - 10):

(25 x - 40 x) + (-5 - 10) = -4 x - 8 x

25 x - 40 x = -15 x:

-15 x + (-5 - 10) = -4 x - 8 x

-5 - 10 = -15:

-15 - 15 x = -4 x - 8 x

-4 x - 8 x = -12 x:

-15 x - 15 = -12 x

Add 12 x to both sides:

12 x - 15 x - 15 = 12 x - 12 x

12 x - 12 x = 0:

12 x - 15 x - 15 = 0

12 x - 15 x = -3 x:

-3 x - 15 = 0

Add 15 to both sides:

(15 - 15) - 3 x = 15

15 - 15 = 0:

-3 x = 15

Divide both sides of -3 x = 15 by -3:

(-3 x)/(-3) = 15/(-3)

(-3)/(-3) = 1:

x = 15/(-3)

The gcd of 15 and -3 is 3, so 15/(-3) = (3×5)/(3 (-1)) = 3/3×5/(-1) = 5/(-1):

x = 5/(-1)

Multiply numerator and denominator of 5/(-1) by -1:

 x = -5

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

you ignore the remainder, therefore the answer is y = x+2

step-by-step explanation:

you have to divide the denominator by the numerator. you can use synthetic division or long division.

[-5] .     1 .     7 .     11

x + 2 + 1/x+5