Question

(2в 3степени*10+4во 2степени*10)-(2*x+6)=3 в 5степени*15-9*5

Answer 1

Решение на фотографии

Answer 2

To solve the equation, let's first simplify each side step by step:

1. Simplify the left-hand side (LHS):

(2 * 3^2 * 10 + 4 * 2^2 * 10) - (2 * x + 6)

First, calculate the exponents:

3^2 = 3 * 3 = 9 2^2 = 2 * 2 = 4

Now, substitute the values:

(2 * 9 * 10 + 4 * 4 * 10) - (2 * x + 6)

Next, calculate the multiplication:

(2 * 90 + 4 * 40) - (2 * x + 6)

Now, perform the remaining multiplication:

(180 + 160) - (2 * x + 6)

Now, combine the numbers:

(340) - (2 * x + 6)

2. Simplify the right-hand side (RHS):

3^5 * 15 - 9 * 5

Calculate the exponents:

3^5 = 3 * 3 * 3 * 3 * 3 = 243

Now, substitute the values:

(243 * 15) - (9 * 5)

Perform the multiplication:

(3645) - (45)

3. Final equation:

Now, our equation becomes:

(340) - (2 * x + 6) = 3645 - 45

Simplify further:

340 - 2x - 6 = 3600

Now, move the constant terms to one side and the variable term to the other side:

340 - 6 - 3600 = 2x

Simplify:

-3266 = 2x

Finally, solve for x by dividing both sides by 2:

x = -3266 / 2 x = -1633

So, the value of x that satisfies the equation is x = -1633.