0,72-(10-0,09×(1,1+x))×0,625=0,6575

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вопрос Следующий
вопрос

To solve this equation, we need to isolate the variable x:

First, we will simplify the equation step by step:

0,72 - (10 - 0,09(1,1 + x)) 0,625 = 0,6575

Simplify the expression inside the parentheses:

1,1 + x = 1,1 + x

Multiply 0,09 by the sum inside the parentheses:

0,09 * (1,1 + x) = 0,099 + 0,09x

Subtract the result from 10:

10 - 0,09 * (1,1 + x) = 10 - 0,099 - 0,09x = 9,901 - 0,09x

Multiply the result by 0,625:

(9,901 - 0,09x) * 0,625 = 6,188125 - 0,05625x

Subtract this result from 0,72:

0,72 - (6,188125 - 0,05625x) = 0,72 - 6,188125 + 0,05625x = -5,468125 + 0,05625x

Now, set this equal to 0,6575:

-5,468125 + 0,05625x = 0,6575

Add 5,468125 to both sides:

0,05625x = 6,125625

Divide by 0,05625:

x = 6,125625 / 0,05625

x ≈ 108.89

Therefore, the solution to the equation is x ≈ 108.89.