Question

8d(1+2d)-(4d+3)(4d-3)=2d

Answer 1

Ответ:

d= - 1,5

Объяснение:

8d(1+2d)-(4d+3)(4d-3)=2d

8d+16d²-(16d²-9)=2d

8d+9-2d=0

6d=-9

d= - 1,5

Answer 2

Let's simplify the given expression step by step:

8d(1+2d)-(4d+3)(4d-3) = 2d

First, let's apply the distributive property to expand the terms within the parentheses:

8d + 16d^2 - (16d^2 - 12d + 12d - 9) = 2d

Next, combine like terms:

8d + 16d^2 - 16d^2 + 12d - 12d + 9 = 2d

Simplifying further, we have:

8d + 9 = 2d

Now, let's isolate the variable "d" on one side of the equation. Subtract 2d from both sides:

8d - 2d + 9 = 2d - 2d

6d + 9 = 0

Finally, subtract 9 from both sides:

6d + 9 - 9 = 0 - 9

6d = -9

To find the value of "d," divide both sides of the equation by 6:

(6d)/6 = -9/6

d = -3/2

Therefore, the solution to the given equation is d = -3/2.