-1/5b-2/5=-2 the answer i got was b = 0 Lowest common denominator = 5 -1/5b (5) - 2/5 (5) = -2 (5) -5/5b - 10/5 = -10/5 + 10/5 +10/5 -5/5b = 0 x 5/5 x5/5 b = 0

b=8

Step-by-step explanation:

Given the equation

Step 1: Take the Lowest common multiple of the left hand side.

The LCM of 5 and 5=5.

Step 2: Combine using the LCM

Step 3: Cross Multiply

-b-2= -2 X 5

-b-2 =-10

Step 4: Add 2 to both sides

-b-2+2 =-10+2

-b=-8

Step 5: To solve for b, Divide both sides by -1

b=8

NOTE: In your steps given

-2 X 5 = -10

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.