Question

Решение уравнения (5x+2)(-x-6)=0

Answer 1

Ответ:

-0,4;-6

Пошаговое объяснение:

(5х+2)(-х-2)=0

-5х^2-30x-2x-12=0

-5x^2-32x-12=0

D=(-32)^2-4*(-5)*(-12)=784

x1=-0,4

x2=-6

Answer 2

To solve the equation $(5x+2)(-x-6) = 0$, we use the zero product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be zero.

So, we set each factor to zero and solve for $x$:

1. Setting $5x+2$ to zero: $5x + 2 = 0$ Subtract 2 from both sides: $5x = -2$ Divide by 5: $x = -\frac{2}{5}$

2. Setting $-x - 6$ to zero: $-x - 6 = 0$ Add 6 to both sides: $-x = 6$ Multiply by -1 (to get $x$ positive): $x = -6$

So, the solutions to the equation are $x = -\frac{2}{5}$ and $x = -6$.