Question

(x+4)(x+4)-x(x+6)=-14x​

Answer 1

Ответ:

$(x + 4)*(x + 4) - x(x + 6) = - 14x \\ (x + 4) {}^{2} - x {}^{2} - 6x = - 14x \\ x {}^{2} + 8x + 16 - x {}^{2} - 6x = - 14x \\ 2x + 16 = - 14x \\ 2x + 14x = - 16 \\ 16x = - 16 \\ x = - 1$

Answer 2

(x+4)(x+4)-x(x+6)=-14x

To simplify this expression, we will expand both sides and then combine like terms.

Expanding the left side: (x+4)(x+4) = x(x+4) + 4(x+4) = x^2 + 4x + 4x + 16 = x^2 + 8x + 16

Expanding the right side: -x(x+6) = -x^2 - 6x

Now we have: x^2 + 8x + 16 - x^2 - 6x = -14x

Combining like terms: 8x - 6x = -14x - 16

Adding 14x to both sides: 8x - 6x + 14x = -16

Simplifying: 16x = -16

Dividing both sides by 16: x = -1

So the solution to the equation (x+4)(x+4)-x(x+6)=-14x is x = -1.