Question

(x+4)(x-3)-(x-5)(x+2)=6​

Answer 1

Ответ:

x^2-3x+4x-12-(x^2+2x-5x-10)=6

x^2-3x+4x-12-(x^2-3x-10)=6

x^2-3x+4x-12-x^2+3x+10=6

4x-2=6

4x=6+2

4x=8

x=2

Объяснение:

Answer 2

To solve the given equation:

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

Let's expand and simplify each side of the equation:

(x + 4)(x - 3) - (x - 5)(x + 2) = 6 (x^2 - 3x + 4x - 12) - (x^2 + 2x - 5x - 10) = 6 (x^2 + x - 12) - (x^2 - 3x - 10) = 6

Now, simplify further:

x^2 + x - 12 - x^2 + 3x + 10 = 6 Combine like terms: x^2 - x^2 + x + 3x - 12 + 10 = 6 4x - 2 = 6 4x = 6 + 2 4x = 8

Divide both sides by 4: x = 8/4 x = 2

Therefore, the solution to the equation is x = 2.