(4x5+6x4+5x2-x-10)÷(2 X 2+3)

2 min read Jun 16, 2024

Solving the Mathematical Expression: (4x5+6x4+5x2-x-10)÷(2 x 2+3)

This article will guide you through the process of solving the mathematical expression: (4x5+6x4+5x2-x-10)÷(2 x 2+3). We will break down the steps involved to ensure a clear understanding.

Step 1: Simplify the Numerator

First, we need to simplify the expression within the numerator:

4x5 = 20
6x4 = 24
5x2 = 10

Now, let's substitute these values back into the numerator: (20 + 24 + 10 - x - 10) ÷ (2 x 2 + 3)

Next, combine the constants in the numerator: (54 - x) ÷ (2 x 2 + 3)

Step 2: Simplify the Denominator

Now, let's simplify the denominator:

2 x 2 = 4

This gives us: (54 - x) ÷ (4 + 3)

Finally, simplify the denominator: (54 - x) ÷ 7

Step 3: Express the Result

The simplified form of the expression is (54 - x) ÷ 7. This can also be written as (54 - x)/7.

Key Points to Remember

Order of Operations: Remember to follow the order of operations (PEMDAS/BODMAS) when simplifying expressions: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Variable: In this expression, "x" represents an unknown value.
Final Form: The expression cannot be further simplified without knowing the value of "x".

By following these steps, you can successfully solve the given mathematical expression.