Solving the Equation: 7^3 + 5^2 x (7^3  5^2) x  10^3 = 372
This equation may look intimidating at first glance, but with the right steps, it's easy to solve. Let's break it down:
Understanding the Equation
The equation is a combination of exponents, multiplication, and subtraction. Here's how we can simplify it:
 Exponents: We need to calculate the powers of each number. For example, 7^3 means 7 multiplied by itself three times (7 * 7 * 7 = 343).
 Multiplication: Next, we perform the multiplications in the order they appear.
 Subtraction: Finally, we perform the subtraction to find the solution.
StepbyStep Solution

Calculate the exponents:
 7^3 = 343
 5^2 = 25
 10^3 = 1000

Simplify the equation:
 343 + 25 * (343  25) x  1000 = 372

Solve the parentheses:
 343 + 25 * (318) x  1000 = 372

Perform the multiplication:
 343 + 7950x  1000 = 372

Combine like terms:
 7950x  657 = 372

Isolate the x term:
 7950x = 1029

Solve for x:
 x = 1029 / 7950
 x ≈ 0.129
The Answer
The solution to the equation 7^3 + 5^2 x (7^3  5^2) x  10^3 = 372 is x ≈ 0.129.