Question

3(x+5)²-4x²=(2-x)(2+x)​

Answer 1

Ответ:

-71/30

Объяснение:

Answer 2

To solve the equation 3(x+5)² - 4x² = (2-x)(2+x), you can follow these steps:

1. Expand and simplify both sides of the equation:

3(x+5)² - 4x² = (2-x)(2+x)

Expand the left side:

3(x+5)(x+5) - 4x² = (2-x)(2+x)

3(x² + 10x + 25) - 4x² = (2² - x²)

Now, distribute the constants and simplify:

3x² + 30x + 75 - 4x² = 4 - x²

2. Combine like terms on both sides of the equation:

(3x² - 4x²) + 30x + 75 = 4 - x²

-x² + 30x + 75 = 4 - x²

3. Subtract x² from both sides of the equation to get rid of the x² terms:

30x + 75 = 4

4. Subtract 75 from both sides of the equation:

30x = 4 - 75 30x = -71

5. Finally, divide both sides by 30 to solve for x:

x = -71 / 30

So, the solution to the equation is:

x = -71/30