Question

(3x + 1) ^ 2 - 9x(x + 6) = - 1

Answer 1

Вот держи тут должно быть все правильно















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Answer 2

Let's solve the equation step by step:

(3x + 1)^2 - 9x(x + 6) = -1

First, expand the square on the left side of the equation:

(3x + 1)(3x + 1) - 9x(x + 6) = -1

Now, apply the distributive property (FOIL) to expand both terms:

(9x^2 + 6x + 1) - 9x(x + 6) = -1

Now distribute the -9x through the second term on the left side:

9x^2 + 6x + 1 - 9x^2 - 54x = -1

Now, combine like terms on the left side:

(9x^2 - 9x^2) + (6x - 54x) + 1 = -1

The terms with x^2 cancel out, and the x terms combine:

-48x + 1 = -1

Now, let's isolate the x term by moving 1 to the right side:

-48x = -1 - 1

-48x = -2

Now, divide both sides by -48 to solve for x:

x = (-2) / (-48)

x = 1/24

So, the solution to the equation is:

x = 1/24