Question

(75*25-840:6-1710)*х=1975:25+84*9 Подскажите как решить?

Answer 1

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Answer 2

To solve the equation (75*25-840:6-1710)*x = 1975:25+84*9, we need to follow the order of operations (also known as PEMDAS or BODMAS). This means we need to perform the operations inside parentheses first, then any exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

Let's break down the equation step by step:

1. Simplify the expression inside the parentheses: (75*25-840:6-1710)

- First, perform the multiplication: 75 * 25 = 1875. - Then, perform the division: 840 divided by 6 = 140. - Finally, subtract 1710: 1875 - 140 - 1710 = -975.

So, the expression inside the parentheses simplifies to -975.

2. Simplify the right side of the equation: 1975:25+84*9

- First, perform the division: 1975 divided by 25 = 79. - Then, perform the multiplication: 84 * 9 = 756. - Finally, add 79 and 756: 79 + 756 = 835.

So, the right side of the equation simplifies to 835.

3. Rewrite the equation with the simplified expressions: -975 * x = 835

4. Solve for x: To solve for x, we need to isolate it on one side of the equation. Since x is being multiplied by -975, we can divide both sides of the equation by -975 to solve for x:

(-975 * x) / -975 = 835 / -975

Simplifying, we get:

x = -835 / 975

Evaluating the division, we get:

x ≈ -0.8564

Therefore, the solution to the equation (75*25-840:6-1710)*x = 1975:25+84*9 is approximately x = -0.8564.

I hope this helps! Let me know if you have any further questions.