Question

(3x+7)(3x-7)-3x(3x+1)=5

Answer 1

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Answer 2

To solve the equation (3x+7)(3x-7) - 3x(3x+1) = 5, we will follow the steps below:

Step 1: Expand the expressions in parentheses. Step 2: Simplify the equation. Step 3: Solve for x.

Let's start:

Step 1: Expand the expressions in parentheses.

(3x + 7)(3x - 7) = 9x^2 - 21x + 21x - 49 = 9x^2 - 49

-3x(3x + 1) = -3x * 3x - 3x * 1 = -9x^2 - 3x

Step 2: Simplify the equation.

(9x^2 - 49) - (9x^2 + 3x) = 5

Now, let's combine like terms:

9x^2 - 49 - 9x^2 - 3x = 5

Step 3: Solve for x.

Now, let's isolate the x term on one side of the equation:

-3x - 49 = 5

Next, add 49 to both sides:

-3x = 54

Finally, divide both sides by -3 to solve for x:

x = 54 / -3

x = -18

So, the solution to the equation is x = -18.