(x+3)(x+6)-(x+4)(x+5)=2

Jasonbradley

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Jun 16, 2024

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Solving the Equation: (x+3)(x+6)-(x+4)(x+5)=2

This article will guide you through the process of solving the equation (x+3)(x+6)-(x+4)(x+5)=2.

Expanding the Equation

First, we need to expand the equation by multiplying out the brackets:

• (x+3)(x+6) = x² + 9x + 18
• (x+4)(x+5) = x² + 9x + 20

Now, substitute these expanded terms back into the original equation:

(x² + 9x + 18) - (x² + 9x + 20) = 2

Simplifying the Equation

Next, simplify the equation by combining like terms:

• x² - x² = 0
• 9x - 9x = 0
• 18 - 20 = -2

This leaves us with: -2 = 2

The Solution

The equation -2 = 2 is a contradiction. This means there is no solution to the original equation (x+3)(x+6)-(x+4)(x+5)=2.

Therefore, the equation has no solution.