Question

Пж ришите (x-4)(x+2)-(x-5)(x+6)=-x

Answer 1

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

x² + 2x - 4x - 8 - (x² + 6x - 5x - 30) = -x

x² - x² - 2x - x + x - 8 + 30 = 0

-2x + 22 = 0

2x = 22

x = 11  

Answer 2

Ответ:

${x}^{2} + 2x - 4x - 8 - {x}^{2} - 6x + 5x + 30 = - x$

${x}^{2} + 2x - 4x - 8 - {x}^{2} - 6x + 5x + 30 + x = 0$

$- 2x + 22 = 0$

$x - 11 = 0$

$x = 11$

Answer 3

Sure, let's solve the equation step by step:

Step 1: Expand the expressions on both sides of the equation: (x - 4)(x + 2) - (x - 5)(x + 6) = -x

Expanding the left-hand side: (x * x) + (x * 2) - (4 * x) - (4 * 2) - (x * x) - (x * 6) + (5 * x) + (5 * 6) = -x

Simplify the equation: x^2 + 2x - 4x - 8 - x^2 - 6x + 5x + 30 = -x

Step 2: Combine like terms: (x^2 - x^2) + (2x - 4x - 6x + 5x) + (-8 + 30) = -x

Simplify further: 0 - 3x + 22 = -x

Step 3: Move the x term to one side of the equation: -3x + 22 + x = 0

Step 4: Combine like terms: -3x + x = -2x

Step 5: Solve for x: -2x + 22 = 0

Step 6: Move the constant term to the other side of the equation: -2x = -22

Step 7: Finally, solve for x: x = -22 / -2

x = 11

So, the solution to the equation is x = 11.